Subjects

Subjects

Companies

Thermochemistry Notes 🥵🔥

42

Share

Save


Chem H
Unit 10
2/7/2023
THERMOCHEMISTRY
-Heat: a form of energy that flows frm warm.
Low High KE
- Temperature: measure of avg KE of particl

Sign up

Sign up to get unlimited access to thousands of study materials. It's free!

Access to all documents

Join milions of students

Improve your grades

By signing up you accept Terms of Service and Privacy Policy

Chem H
Unit 10
2/7/2023
THERMOCHEMISTRY
-Heat: a form of energy that flows frm warm.
Low High KE
- Temperature: measure of avg KE of particl

Sign up

Sign up to get unlimited access to thousands of study materials. It's free!

Access to all documents

Join milions of students

Improve your grades

By signing up you accept Terms of Service and Privacy Policy

Chem H
Unit 10
2/7/2023
THERMOCHEMISTRY
-Heat: a form of energy that flows frm warm.
Low High KE
- Temperature: measure of avg KE of particl

Sign up

Sign up to get unlimited access to thousands of study materials. It's free!

Access to all documents

Join milions of students

Improve your grades

By signing up you accept Terms of Service and Privacy Policy

Chem H
Unit 10
2/7/2023
THERMOCHEMISTRY
-Heat: a form of energy that flows frm warm.
Low High KE
- Temperature: measure of avg KE of particl

Sign up

Sign up to get unlimited access to thousands of study materials. It's free!

Access to all documents

Join milions of students

Improve your grades

By signing up you accept Terms of Service and Privacy Policy

Chem H
Unit 10
2/7/2023
THERMOCHEMISTRY
-Heat: a form of energy that flows frm warm.
Low High KE
- Temperature: measure of avg KE of particl

Sign up

Sign up to get unlimited access to thousands of study materials. It's free!

Access to all documents

Join milions of students

Improve your grades

By signing up you accept Terms of Service and Privacy Policy

Chem H
Unit 10
2/7/2023
THERMOCHEMISTRY
-Heat: a form of energy that flows frm warm.
Low High KE
- Temperature: measure of avg KE of particl

Sign up

Sign up to get unlimited access to thousands of study materials. It's free!

Access to all documents

Join milions of students

Improve your grades

By signing up you accept Terms of Service and Privacy Policy

Chem H
Unit 10
2/7/2023
THERMOCHEMISTRY
-Heat: a form of energy that flows frm warm.
Low High KE
- Temperature: measure of avg KE of particl

Sign up

Sign up to get unlimited access to thousands of study materials. It's free!

Access to all documents

Join milions of students

Improve your grades

By signing up you accept Terms of Service and Privacy Policy

Chem H
Unit 10
2/7/2023
THERMOCHEMISTRY
-Heat: a form of energy that flows frm warm.
Low High KE
- Temperature: measure of avg KE of particl

Sign up

Sign up to get unlimited access to thousands of study materials. It's free!

Access to all documents

Join milions of students

Improve your grades

By signing up you accept Terms of Service and Privacy Policy

Chem H Unit 10 2/7/2023 THERMOCHEMISTRY -Heat: a form of energy that flows frm warm. Low High KE - Temperature: measure of avg KE of particles - Energy: ability to do work (w) or produce heat (9) - Thermochemistry: Study of heat change in chemical reactions and state changes - Kinetic Energy: energy of motion •All matter has KE • Absolute zero (OK) is no KE - Potential Energy: energy available that can • B/C of object's position ● - Forms of energy: • Radient • Thermal • Chemical • Nuclear -Joule (J): 1 J = •Gravitational • Electric • Magnetic • Mechanical . SI unit for energy 1 kg. m² 5² do work cool - Calorie (col): amt of energy transfer to raise 19 of water frm 14.50 °C 15.50 ℃ 11 cal = 4.18 J - British Thermal Unit: amt of energy transfer to raise 19 of Water fim 630 °F 640 °F 1 вти = JOSS J - First Law of Thermodynamics / Law of Conservation of Energy: energy cannot be Created nor destroyed -System: area of focus (chemical rxn) - Surrounding: everything else Surroundings System Surroun . "oundi dins - Types of systems: •Open: energy and matter can be exchanged • Closed: energy can be exchansed but not matter Surro •Isolated energy nor matter can be exchanged - Internal Energy (E): sum of KE + PE of particles in the system • Only know OE -Part of E is KE fim molecular motion • Translationell, rotation, and vibration motion • Sometimes called thermal energy. - Part of E is...

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying

Alternative transcript:

PE from bonds and IMFS, called chemical energy (same as E) AT = Tf - Ti -If AT > O, System absorbed energy (endothermic) -If AT < O, system released energy (exothermic) work AT = a + W heat -Heat (): transfer of thermal energy due to temp difference - Work (W): force acting over a distance # of mols -Sign conventions: +q +W +AT - Formula: gain heat Work done on System MAH = net gain of energy net loss of energy - Heat flowing in/out results in change in state or temp of System = MCAT T mass -specific heelt = 9P •chanse -q -W in temp loses heat - AT heat - Enthalphy (H): total energy of a system at constant pressure •Can only measure change Extensive property Work done by system note: D = A • Units are kJ/mol - Energy change to a system that doesn't result in ot is measured as DH • Phase changes -Types of enthalpy change: • Enthalphy of reaction (DHixn): heat absorbed or released during a chemical reaction • Enthalpy of combustion (DH comb): heat absorbed or released by burning (usually O₂) in kJ/mol • Enthalpy of solution (DH soln); heat absorbed or released by a substance when it dissolves • Enthalpy of fusion (OHfus): heat absorbed to change I mol frm sollig at melting point Freezing is exothermic, so - DH Melting is endothermic. So + DH • Enthalpy of vaporization (DHvap): heelt absorbed to change I mol frm liggas at boiling point ▶ Condensing is exothermie, so - DH ▶ · Boiling is endothermic, so +DH - For a chemical reaction: Hreaction = DH products - OH reactants If Hiran is t, endothermic if olt is -, exothermic -Enthalphy diagrams Show if a reaction is endo or exo: ENDOTHERMIC EXOTHERMIC Reactants -DH Lactants Products - PE Diagrams: Activati Energy energ released 1xn Progress exothermic Products Reactants Reactants 1xn Progress endothermic Products + DH Products -Heat Capacity (C): quantity of heat required to change the temp by 1°C or IK - Specific Heat (CP): quantity of heat required to change the temp by 1°C or Ik for Ig of substance -heat capacity Spec. healt = mass q MAT Molar Heat Capacity is used when amt is I mol •Units are J/mol · K - Useful spec heat equation: 9 = mcAT - Calorimetry: measure of heat flow Instrument called a change in temp - 9 reaction = 9, calorimeter OR -9rxn=9cal + 9 soln Thermometer Glass stirrer -Thermal Equilibrium: occurs when system and surroundings reach same temp and heat transfer stops - Coffee Cup Calorimetry: Cork stopper Calorimeter used Two Styrofoam® cups nested together Reaction mixture ・9ix = 9soln 9 soln = Csoln M soin • (Tfinal - Tinitial) - Ex/ A 0.500-g sample of KCl is added to 50.0 g of water in a calorimeter. If the temperature decreases by 1.05 C, what's the approximate amount of heat involved in the dissolution of the KCl? Assume the heat capacity of the resulting solution is 4.18 J/g C. Is the reaction exothermic or endothermic? Given: m KCl = 0.500 9 m water = 50.0 g 4T = -1.05 °C C = 4.184 J/g °C 50.09 + 0.500, So. 500 9 of solution Asking for: 9rxn -9rxn= (50.500) - (4.184) (-1.05 ˚C) -9rxn=-221.8566 J 91xn=221.8566 J Keer 3 sig figs! 19rxn= 222 J -Thermochemical Equations: describe the ixn and energy changes. during said IxN •AH written in Products or off to the side as AH = ·PHYSICAL STATE OF REACTANTS & PRODUCTS ARE IMPORTANT - Thermochemical equations can be manipulated to help us Problems by: . • Flipping the equation Must also • Multiplying the entire equation by a factor I chounse alt - Can also use oH as a Conversion factor: 2 CH4O+ 30₂ 4 H₂O + 2 CO₂ AH = -1452 kJ/mol 1452 KJ 1452 kJ 1452 kJ 1452 kJ 2 mol CH₂O 4 mol H₂O 2 mol CO₂ 3 mol O₂ solve - Ex/ W/ the reaction above, how much heat is released if 14.8 g of CH40 is combusted? mm CH40 = 32.0419 9 14.81 mol CH₂O 1452 KJ 32.041992 al CHYⒸ -Hess's Law: b/c enthalpy is a state function, total oH depends on initial state (reactants) and final state (Products) •Allows us to calc all for hard to find out ixns - If rxn can be expressed as steps, then AH for target Ixn is Sum of AH of each 새 tars = Eat givens + Sum - Ex/ - 04 To solve Hess's Law Probs, algebraically manipulate equations and a to find all of target equation - Ex/ Target: C3H8 (9) + 5 0₂ (9) → 3 CO₂ (3) + 4 17₂0 (1) 4H= ? -3 step process to set to target 1. Decomp of propane: 2. Formation of CO₂: 3. Formation of H₂O 335 kJ is released Target: 2 C(grap) + 3 (3H₂ (3) → 3 (₁₂) + 4H₂ (3) AH= 103.89 KJ 3 C G + 3 0₂ (3) → 3 CO₂ (5) 4 H₂ (9) + 2 O₂ (s) → 4 H₂O (1) Calo & ΔΗ=? H₂ (9) → 20 Casian) + O2 (9) → COn () AH = -393.5 kJ = ( 2 Colto (9) + 7 0₂ (9)→ 4 CO₂ (9) + 6 H₂0 (1) AH = -3119.6 KJ) flip 33 H₂ (3) + 1⁄2 0₂ (9) → H₂0 (1) &H= -285.8 KJ 2 C (grap) + 22₂ (9) → a CO₂ (2) 20026) + 3H00 Co Ho (9) + 3 1₂ (9)+₂2 →3H₂(1) AH = -1181 kJ OH = -1143 kJ AH = -787 KJ OH = AH = 2 C (graphite) + 3 H₂ (9) → C6 H6 (0) AH = -84.6 KJ G 1559.8 kJ -857.4 KJ -Enthalpy of Formation (AHI): enthalpy change for the reaction where a Compound is made frm constituent elements in their elemental forms Standard Enthalpy of Formation (Alt°f): enthalpy change when I mol of a substance is formed from its component elements most stable states in their •AKA Standard Heat of Formation • Standard Conditions (25°C and 1.00 atm pressure) are denoted by 0 -AHF for any element in its most stable state is O Sign | Hixh = (Σn₂ & Hi (products)) - Σn₂ & Hi (xcocinas) (reactants) also - Bond Enthalpies : + used to calculate appx enthalpies for a reaction -To break a bond, energy is needed b/c of ators are at lowest PE and more stable (endothermic) -When bonds for, atoms must lose energy to lower PE, excess energy is heat (exothermic) - To use bond enthalpics, reactants and products must be in a gas state If there's liquids, you need enthalpy change of vaporization - the more energy needed to break a bond, the more stable the Compound is - Ex/ Calculate H: CH4 (9) + 2 O₂ (9) → 2 H₂O (9) + CO₂ (9) Bonds broken: 4 (H+- C-H) Bonds formed: 4 (₁) and 2 (0=C=0) AH = (4 (413) + 2 (498)) - (4 (464) + 2 (805)) AH = 2658 kJ 3466 kJ H = -808 KJ and 2 (0 = 0)

Thermochemistry Notes 🥵🔥

42

Share

Save

Chemistry

 

10th

Study note

user profile picture

Jake Stewart

26 Followers

Comments (2)

Chem H
Unit 10
2/7/2023
THERMOCHEMISTRY
-Heat: a form of energy that flows frm warm.
Low High KE
- Temperature: measure of avg KE of particl
Chem H
Unit 10
2/7/2023
THERMOCHEMISTRY
-Heat: a form of energy that flows frm warm.
Low High KE
- Temperature: measure of avg KE of particl
Chem H
Unit 10
2/7/2023
THERMOCHEMISTRY
-Heat: a form of energy that flows frm warm.
Low High KE
- Temperature: measure of avg KE of particl
Chem H
Unit 10
2/7/2023
THERMOCHEMISTRY
-Heat: a form of energy that flows frm warm.
Low High KE
- Temperature: measure of avg KE of particl
Chem H
Unit 10
2/7/2023
THERMOCHEMISTRY
-Heat: a form of energy that flows frm warm.
Low High KE
- Temperature: measure of avg KE of particl

Unit 10 of Chemistry Honors (Inorganic)

Similar Content

Know Thermochemistry thumbnail

2

Thermochemistry

Handwritten notes based on the information in Unit 17: Thermochemistry on CK-12 Chemistry for High School

Know Chemistry: Thermochemistry thumbnail

8

Chemistry: Thermochemistry

This explains thermochemistry in a detailed way with some sample problems.

Know Chemistry: Chemical Thermodynamics thumbnail

1

Chemistry: Chemical Thermodynamics

This is about chemical thermodynamics with sample problems.

Know Thermodynamics thumbnail

32

Thermodynamics

Introduction to thermodynamics in chemistry. Includes endothermic/exothermic, the 1st and 2nd laws of thermodynamics, spontaneous reactions, calorimetry, and plenty of examples and practice problems.

Know Unit 3 Chemistry Notes thumbnail

18

Unit 3 Chemistry Notes

Unit 3 chemistry notes (10th grade)

Know Chapter 10: Energy thumbnail

6

Chapter 10: Energy

Chem 1210 Chapter 10: Energy notes

Chem H Unit 10 2/7/2023 THERMOCHEMISTRY -Heat: a form of energy that flows frm warm. Low High KE - Temperature: measure of avg KE of particles - Energy: ability to do work (w) or produce heat (9) - Thermochemistry: Study of heat change in chemical reactions and state changes - Kinetic Energy: energy of motion •All matter has KE • Absolute zero (OK) is no KE - Potential Energy: energy available that can • B/C of object's position ● - Forms of energy: • Radient • Thermal • Chemical • Nuclear -Joule (J): 1 J = •Gravitational • Electric • Magnetic • Mechanical . SI unit for energy 1 kg. m² 5² do work cool - Calorie (col): amt of energy transfer to raise 19 of water frm 14.50 °C 15.50 ℃ 11 cal = 4.18 J - British Thermal Unit: amt of energy transfer to raise 19 of Water fim 630 °F 640 °F 1 вти = JOSS J - First Law of Thermodynamics / Law of Conservation of Energy: energy cannot be Created nor destroyed -System: area of focus (chemical rxn) - Surrounding: everything else Surroundings System Surroun . "oundi dins - Types of systems: •Open: energy and matter can be exchanged • Closed: energy can be exchansed but not matter Surro •Isolated energy nor matter can be exchanged - Internal Energy (E): sum of KE + PE of particles in the system • Only know OE -Part of E is KE fim molecular motion • Translationell, rotation, and vibration motion • Sometimes called thermal energy. - Part of E is...

Chem H Unit 10 2/7/2023 THERMOCHEMISTRY -Heat: a form of energy that flows frm warm. Low High KE - Temperature: measure of avg KE of particles - Energy: ability to do work (w) or produce heat (9) - Thermochemistry: Study of heat change in chemical reactions and state changes - Kinetic Energy: energy of motion •All matter has KE • Absolute zero (OK) is no KE - Potential Energy: energy available that can • B/C of object's position ● - Forms of energy: • Radient • Thermal • Chemical • Nuclear -Joule (J): 1 J = •Gravitational • Electric • Magnetic • Mechanical . SI unit for energy 1 kg. m² 5² do work cool - Calorie (col): amt of energy transfer to raise 19 of water frm 14.50 °C 15.50 ℃ 11 cal = 4.18 J - British Thermal Unit: amt of energy transfer to raise 19 of Water fim 630 °F 640 °F 1 вти = JOSS J - First Law of Thermodynamics / Law of Conservation of Energy: energy cannot be Created nor destroyed -System: area of focus (chemical rxn) - Surrounding: everything else Surroundings System Surroun . "oundi dins - Types of systems: •Open: energy and matter can be exchanged • Closed: energy can be exchansed but not matter Surro •Isolated energy nor matter can be exchanged - Internal Energy (E): sum of KE + PE of particles in the system • Only know OE -Part of E is KE fim molecular motion • Translationell, rotation, and vibration motion • Sometimes called thermal energy. - Part of E is...

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying

Alternative transcript:

PE from bonds and IMFS, called chemical energy (same as E) AT = Tf - Ti -If AT > O, System absorbed energy (endothermic) -If AT < O, system released energy (exothermic) work AT = a + W heat -Heat (): transfer of thermal energy due to temp difference - Work (W): force acting over a distance # of mols -Sign conventions: +q +W +AT - Formula: gain heat Work done on System MAH = net gain of energy net loss of energy - Heat flowing in/out results in change in state or temp of System = MCAT T mass -specific heelt = 9P •chanse -q -W in temp loses heat - AT heat - Enthalphy (H): total energy of a system at constant pressure •Can only measure change Extensive property Work done by system note: D = A • Units are kJ/mol - Energy change to a system that doesn't result in ot is measured as DH • Phase changes -Types of enthalpy change: • Enthalphy of reaction (DHixn): heat absorbed or released during a chemical reaction • Enthalpy of combustion (DH comb): heat absorbed or released by burning (usually O₂) in kJ/mol • Enthalpy of solution (DH soln); heat absorbed or released by a substance when it dissolves • Enthalpy of fusion (OHfus): heat absorbed to change I mol frm sollig at melting point Freezing is exothermic, so - DH Melting is endothermic. So + DH • Enthalpy of vaporization (DHvap): heelt absorbed to change I mol frm liggas at boiling point ▶ Condensing is exothermie, so - DH ▶ · Boiling is endothermic, so +DH - For a chemical reaction: Hreaction = DH products - OH reactants If Hiran is t, endothermic if olt is -, exothermic -Enthalphy diagrams Show if a reaction is endo or exo: ENDOTHERMIC EXOTHERMIC Reactants -DH Lactants Products - PE Diagrams: Activati Energy energ released 1xn Progress exothermic Products Reactants Reactants 1xn Progress endothermic Products + DH Products -Heat Capacity (C): quantity of heat required to change the temp by 1°C or IK - Specific Heat (CP): quantity of heat required to change the temp by 1°C or Ik for Ig of substance -heat capacity Spec. healt = mass q MAT Molar Heat Capacity is used when amt is I mol •Units are J/mol · K - Useful spec heat equation: 9 = mcAT - Calorimetry: measure of heat flow Instrument called a change in temp - 9 reaction = 9, calorimeter OR -9rxn=9cal + 9 soln Thermometer Glass stirrer -Thermal Equilibrium: occurs when system and surroundings reach same temp and heat transfer stops - Coffee Cup Calorimetry: Cork stopper Calorimeter used Two Styrofoam® cups nested together Reaction mixture ・9ix = 9soln 9 soln = Csoln M soin • (Tfinal - Tinitial) - Ex/ A 0.500-g sample of KCl is added to 50.0 g of water in a calorimeter. If the temperature decreases by 1.05 C, what's the approximate amount of heat involved in the dissolution of the KCl? Assume the heat capacity of the resulting solution is 4.18 J/g C. Is the reaction exothermic or endothermic? Given: m KCl = 0.500 9 m water = 50.0 g 4T = -1.05 °C C = 4.184 J/g °C 50.09 + 0.500, So. 500 9 of solution Asking for: 9rxn -9rxn= (50.500) - (4.184) (-1.05 ˚C) -9rxn=-221.8566 J 91xn=221.8566 J Keer 3 sig figs! 19rxn= 222 J -Thermochemical Equations: describe the ixn and energy changes. during said IxN •AH written in Products or off to the side as AH = ·PHYSICAL STATE OF REACTANTS & PRODUCTS ARE IMPORTANT - Thermochemical equations can be manipulated to help us Problems by: . • Flipping the equation Must also • Multiplying the entire equation by a factor I chounse alt - Can also use oH as a Conversion factor: 2 CH4O+ 30₂ 4 H₂O + 2 CO₂ AH = -1452 kJ/mol 1452 KJ 1452 kJ 1452 kJ 1452 kJ 2 mol CH₂O 4 mol H₂O 2 mol CO₂ 3 mol O₂ solve - Ex/ W/ the reaction above, how much heat is released if 14.8 g of CH40 is combusted? mm CH40 = 32.0419 9 14.81 mol CH₂O 1452 KJ 32.041992 al CHYⒸ -Hess's Law: b/c enthalpy is a state function, total oH depends on initial state (reactants) and final state (Products) •Allows us to calc all for hard to find out ixns - If rxn can be expressed as steps, then AH for target Ixn is Sum of AH of each 새 tars = Eat givens + Sum - Ex/ - 04 To solve Hess's Law Probs, algebraically manipulate equations and a to find all of target equation - Ex/ Target: C3H8 (9) + 5 0₂ (9) → 3 CO₂ (3) + 4 17₂0 (1) 4H= ? -3 step process to set to target 1. Decomp of propane: 2. Formation of CO₂: 3. Formation of H₂O 335 kJ is released Target: 2 C(grap) + 3 (3H₂ (3) → 3 (₁₂) + 4H₂ (3) AH= 103.89 KJ 3 C G + 3 0₂ (3) → 3 CO₂ (5) 4 H₂ (9) + 2 O₂ (s) → 4 H₂O (1) Calo & ΔΗ=? H₂ (9) → 20 Casian) + O2 (9) → COn () AH = -393.5 kJ = ( 2 Colto (9) + 7 0₂ (9)→ 4 CO₂ (9) + 6 H₂0 (1) AH = -3119.6 KJ) flip 33 H₂ (3) + 1⁄2 0₂ (9) → H₂0 (1) &H= -285.8 KJ 2 C (grap) + 22₂ (9) → a CO₂ (2) 20026) + 3H00 Co Ho (9) + 3 1₂ (9)+₂2 →3H₂(1) AH = -1181 kJ OH = -1143 kJ AH = -787 KJ OH = AH = 2 C (graphite) + 3 H₂ (9) → C6 H6 (0) AH = -84.6 KJ G 1559.8 kJ -857.4 KJ -Enthalpy of Formation (AHI): enthalpy change for the reaction where a Compound is made frm constituent elements in their elemental forms Standard Enthalpy of Formation (Alt°f): enthalpy change when I mol of a substance is formed from its component elements most stable states in their •AKA Standard Heat of Formation • Standard Conditions (25°C and 1.00 atm pressure) are denoted by 0 -AHF for any element in its most stable state is O Sign | Hixh = (Σn₂ & Hi (products)) - Σn₂ & Hi (xcocinas) (reactants) also - Bond Enthalpies : + used to calculate appx enthalpies for a reaction -To break a bond, energy is needed b/c of ators are at lowest PE and more stable (endothermic) -When bonds for, atoms must lose energy to lower PE, excess energy is heat (exothermic) - To use bond enthalpics, reactants and products must be in a gas state If there's liquids, you need enthalpy change of vaporization - the more energy needed to break a bond, the more stable the Compound is - Ex/ Calculate H: CH4 (9) + 2 O₂ (9) → 2 H₂O (9) + CO₂ (9) Bonds broken: 4 (H+- C-H) Bonds formed: 4 (₁) and 2 (0=C=0) AH = (4 (413) + 2 (498)) - (4 (464) + 2 (805)) AH = 2658 kJ 3466 kJ H = -808 KJ and 2 (0 = 0)