vanden bout/labrake/crawford ch301 gas laws - day 3

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CH301 Vanden Bout/LaBrake Fall 2013 Vanden Bout/LaBrake/Crawford CH301 GAS LAWS - Day 3 CH301 Vanden Bout/LaBrake Fall 2013 Important Information HW2 POSTED - DUE TUE MORNING 9AM LM6 & 7 POSTED – DUE TUE MORNING 9AM LM2,3,4 & 5 WERE DUE THIS MORNING 9AM Unit1Day3-LaBrake Wednesday, September 04, 2013 5:19 PM Unit1Day3-LaBrake Page 1

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CH301 Vanden Bout/LaBrake Fall 2013

VandenBout/LaBrake/Crawford

CH301

GAS LAWS - Day 3

CH301 Vanden Bout/LaBrake Fall 2013

Important Information

HW2 POSTED - DUE TUE MORNING 9AMLM6 & 7 POSTED – DUE TUE MORNING 9AM

LM2,3,4 & 5 WERE DUE THIS MORNING 9AM

Unit1Day3-LaBrakeWednesday, September 04, 20135:19 PM

Unit1Day3-LaBrake Page 1

CH301 Vanden Bout/LaBrake Fall 2013

What are we going to learn today?

MACROSCOPIC & MICROSCOPIC VIEWS OF GASESIDEAL GAS LAW

USE IDEAL GAS LAW – IDENTIFY UNKOWN GAS

CH301 Vanden Bout/LaBrake Fall 2013

QUIZ: CLICKER QUESTION 1 (points for CORRECT answer)

According to Avagadro’s Law, a sample of H2

gas with a volume of 10 liters, at a pressure of 2 atm, and a temperature of 25°C, contains ________ “particles” compared to a sample He gas that has a volume of 5 L at the same temperature and pressure.

A. the same number ofB. two times moreC. four times moreD. two times lessE. four times less

CH301 Vanden Bout/LaBrake Fal 2013

Which of the following is a plot of the pressure of a gas as a function of the volume at fixed temperature?

QUIZ: CLICKER QUESTION 2 (points for CORRECT answer)

A B

C D

Unit1Day3-LaBrake Page 2

CH301 Vanden Bout/LaBrake Fal 2013

Which of the following is a plot of the pressure of a gas as a function of the volume at fixed temperature?

QUIZ: CLICKER QUESTION 2 (points for CORRECT answer)

A B

C D

CH301 Vanden Bout/LaBrake Fall 2013

Describe a Gas

PHYSICAL DESCRIPTION:

VOLUMEPRESSURE – most abstract property

TEMPERATUREAMOUNT

GAS LAWs QUANTIFY THE RELATIONSHIP OF THE PROPERTIES. EQUATION FORM OF LAWs GIVE

ABILITY TO PREDICT CONDITIONS AT NEW STATE

Unit1Day3-LaBrake Page 3

CH302 Vanden Bout/LaBrake Spring 2012

You have a sample of O2 gas T = 10°C and a P = 1 atm. If you increase T = 20°C and keep P = 1 atm, V will:

A. stay the sameB. be slightly higher but not double the originalC. double compared to the original volumeD. decrease slightly but not in half the originalE. decrease to half the original volume

POLL: CLICKER QUESTION 3

CH301 Vanden Bout/LaBrake Fall 2013

TRY IT - Balloon in ice water… balloon in liquid N2

CH301 Vanden Bout/LaBrake Fall 2013

COMPARE COLD BALLOON TO BALLOON IN VACUUM

COMPARE MACROSCOPIC VIEW WITH MICROSCOPIC VIEW

http://ch301.cm.utexas.edu/simulations/gas-laws/GasLawSimulator.swf

Unit1Day3-LaBrake Page 4

CH301 Vanden Bout/LaBrake Fall 2013

COMPARE COLD BALLOON TO BALLOON IN VACUUM

COMPARE MACROSCOPIC VIEW WITH MICROSCOPIC VIEW

http://ch301.cm.utexas.edu/simulations/gas-laws/GasLawSimulator.swf

CH301 Vanden Bout/LaBrake Fall 2013

Think back to the syringe investigation: When the VOLUME of the container is DECREASED, and the T and amount of gas remains the same, the PRESSURE:

a)PRESSURE INCREASESb)PRESSURE DOES NOT CHANGEc)PRESSURE DECREASESd)PRESSURE WILL CHANGE BRIEFLY, BUT THEN RETURNS TO ORIGINAL PRESSURE

POLLING: CLICKER QUESTION 4

CH301 Vanden Bout/LaBrake Fall 2013

Think back to the syringe investigation: When the VOLUME of the container is DECREASED, and the T and amount of gas remains the same, the PRESSURE INCREASES. The small particle explanation is because the:

a)# of collisions INCREASESb)# of collisions DOES NOT CHANGEc)# of collisions DECREASESd)Avg speed of particles DECREASESe)Avg speed of particles DOES NOT CHANGE

POLLING: CLICKER QUESTION 5

Unit1Day3-LaBrake Page 5

CH301 Vanden Bout/LaBrake Fall 2013

Think back to the syringe investigation: When the VOLUME of the container is DECREASED, and the T and amount of gas remains the same, the PRESSURE INCREASES. The small particle explanation is because the:

a)# of collisions INCREASESb)# of collisions DOES NOT CHANGEc)# of collisions DECREASESd)Avg speed of particles DECREASESe)Avg speed of particles DOES NOT CHANGE

POLLING: CLICKER QUESTION 5

CH301 Vanden Bout/LaBrake Fall 2013

Think back to the balloon in liquid N2 demonstration : When the TEMPERATURE of the container is DECREASED, and the P and amount of gas remains the same, the :

a)VOLUME INCREASESb)VOLUME DOES NOT CHANGEc)VOLUME DECREASESd)VOLUME WILL CHANGE BRIEFLY, BUT THEN RETURNS TO ORIGINAL VOLUME

POLLING: CLICKER QUESTION 6

Unit1Day3-LaBrake Page 6

CH301 Vanden Bout/LaBrake Fall 2013

Think back to the balloon in liquid N2 demonstration : When the TEMPERATURE of the container is DECREASED, and the P and amount of gas remains the same, THE VOLUME DECREASES - the small gas particle explanation is because the:

a)AVG SPEED OF PARTICLES DECREASESb)AVG SPEED OF PARTICLES INCREASESc)AVG SPEED OF PARTICLES DOES NOT CHANGE

POLLING: CLICKER QUESTION 7

CH301 Vanden Bout/LaBrake Fall 2013

MACROSCOPIC DESCRIPTION

MICROSCOPIC MODEL (SMALL PARTICLE MODEL)

EMPERICALLY DERIVED MODELS

CH302 Vanden Bout/LaBrake Spring 2012

COMBINE GAS LAWS – IDEAL GAS LAW

PV = nRT

The value of R depends on the units of

measure used for the State Functions

R = .08205746 L atm K−1 mol−1

R = .08314472 L bar K−1 mol−1

Unit1Day3-LaBrake Page 7

CH302 Vanden Bout/LaBrake Spring 2012

COMBINE GAS LAWS – IDEAL GAS LAW

PV = nRT

The value of R depends on the units of

measure used for the State Functions

R = .08205746 L atm K−1 mol−1

R = .08314472 L bar K−1 mol−1

CH301 Vanden Bout/LaBrake Fall 2013

COMBINE GAS LAWS – IDEAL GAS EQUATION

PV = nRT

THIS IS ACTUALLY QUITE COOL

CH301 Vanden Bout/LaBrake Fall 2013

USEFULLNESS?

PV = nRT

Given 3 properties of the state, calculate the 4th.

Predicts every single gas should have the same number density.

Same P, T should be identical – moles per volume (# density).

Molar volume – volume per one mole useful for gas stoichiometry.

Particles have different masses, different gases should have different

mass densities under same conditions.

Given P, T and molar mass – calculate mass density of a gas.

Given P, T and density – calculate the molar mass of a gas.

Unit1Day3-LaBrake Page 8

CH301 Vanden Bout/LaBrake Fall 2013

USEFULLNESS?

PV = nRT

Given 3 properties of the state, calculate the 4th.

Predicts every single gas should have the same number density.

Same P, T should be identical – moles per volume (# density).

Molar volume – volume per one mole useful for gas stoichiometry.

Particles have different masses, different gases should have different

mass densities under same conditions.

Given P, T and molar mass – calculate mass density of a gas.

Given P, T and density – calculate the molar mass of a gas.

CH301 Vanden Bout/LaBrake Fall 2013

POLLING: CLICKER QUESTION 9

Which balloon has the higher mass density?

A. ArB. HeC. they are the same

Unit1Day3-LaBrake Page 9

CH301 Vanden Bout/LaBrake Fall 2013

POLLING: CLICKER QUESTION 9

Which balloon has the higher number density?

A. ArB. HeC. they are the same

CH301 Vanden Bout/LaBrake Fall 2013

POLLING: CLICKER QUESTION 10

We have two identical containers held at the same T, one contains Ar, one contains He. The containers have the same mass density. Which has the higher pressure?

A. ArB. HeC. they are the same

Unit1Day3-LaBrake Page 10

CH301 Vanden Bout/LaBrake Fall 2013

GROUP WORK

Starting with the ideal gas law and the molar mass of a gas, derive an equation

for the mass density of a gas.

CH302 Vanden Bout/LaBrake Spring 2012

CH301 Vanden Bout/LaBrake Fall 2013

GROUP WORK

The oil produced from eucalyptus leaves contains the volatile organic compound eucalyptol. At 190 ºC and 60.0 Torr, a sample of eucalyptol vapor had a density of 0.320 g*L-1. Calculate the molar mass of eucalyptol. Unit1Day3-LaBrake Page 11

CH301 Vanden Bout/LaBrake Fall 2013

GROUP WORK

The oil produced from eucalyptus leaves contains the volatile organic compound eucalyptol. At 190 ºC and 60.0 Torr, a sample of eucalyptol vapor had a density of 0.320 g*L-1. Calculate the molar mass of eucalyptol.

CH301 Vanden Bout/LaBrake Fall 2013

GROUP WORK QUIZ CLICKER QUESTION

The oil produced from eucalyptus leaves contains the volatile organic compound eucalyptol. At 190 ºC and 60.0 Torr, a sample of eucalyptol vapor had a density of 0.320 g*L-1. Calculate the molar mass of eucalyptol..

a)63 g/molb)154 g/molc)0.01 g/mold)10 g/mol

CH301 Vanden Bout/LaBrake Fall 2013

GROUP WORK QUIZ CLICKER QUESTION

Calculate the volume of carbon dioxide, adjusted to 25 ºC and 1.0 atm , that plants need to make 1.00 g of glucose.

6CO2 (g) + 6H2O (l) C6H12O6 (s)+ 6O2 (g)

Unit1Day3-LaBrake Page 12

CH301 Vanden Bout/LaBrake Fall 2013

GROUP WORK QUIZ CLICKER QUESTION

Calculate the volume of carbon dioxide, adjusted to 25 ºC and 1.0 atm , that plants need to make 1.00 g of glucose.

6CO2 (g) + 6H2O (l) C6H12O6 (s)+ 6O2 (g)

CH301 Vanden Bout/LaBrake Fall 2013

What did we learn today?

IDEAL GAS LAW and IDEAL GAS EQUATION

CONCEPT OF NUMBER DENSITY vs MASS DENSITY

DERIVED EQUATION FOR RELATIONSHIP BETWEEN MASS DENSITY AND THE MOLAR MASS OF A GAS

Anything Else? Please Share….

Unit1Day3-LaBrake Page 13

CH301 Vanden Bout/LaBrake Fall 2013

DAY 3 LEARNING OUTCOMES

Perform calculations using the ideal gas equation

Explain the relationship between the number density and the mass density for a given gas

Use the ideal gas law to determine MW of a gas

Apply the concept of the gas laws to gas phase reactionsand perform stoichiometric calculations

Using the gas properties, masses, moles, limiting reagents and percent yields

Unit1Day3-LaBrake Page 14