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2 10 How Are P And T Related

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Launch: 2/10 Grab your binder and immediately take a seat! Place launch paper on your desk. Yesterday’s Benchmark Data: Today’s Objectives: I can apply the gas laws to relations between temperature and pressure. 96%!
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Page 1: 2 10 How Are P And T Related

Launch: 2/10   Grab your binder and immediately take a seat!

  Place launch paper on your desk.

  Yesterday’s Benchmark Data:

  Today’s Objectives: I can apply the gas laws to relations between temperature and pressure.

96%!

Page 2: 2 10 How Are P And T Related

Launch 2/10 1.  What is the equation for converting

between the Celcius and Kelvin scales? Label the variables.

Page 3: 2 10 How Are P And T Related

Launch 2/10 2. Molecules in a substance at 50°C

a.  move slower than molecules in a substance at 25°C because they have less kinetic energy

b.  move slower than molecules in a substance at 25°C because they have more kinetic energy

c.  move faster than molecules in a substance at 25°C because they have less kinetic energy

d.  move faster than molecules in a substance at 25°C because they have more kinetic energy

Page 4: 2 10 How Are P And T Related

Launch 2/10 3.  What is the equivalent of 423K in degrees

Celsius? a.  -223°C

b.  -23°C c.  150°C d.  696°C

Page 5: 2 10 How Are P And T Related

Launch 2/10 4.  Convert -50°C to Kelvin.

a.  -223 K b.  -50 K c.  223 K d.  323 K

Page 6: 2 10 How Are P And T Related

Announcements   Great job yesterday!

  No quiz on Friday

  Class points end on Friday

  Only 3 days until break…   Let’s finish strong

Page 7: 2 10 How Are P And T Related

February Calendar

Exam!

No quiz!

Quiz!

Today

Page 8: 2 10 How Are P And T Related

Opening   Today’s Objective: I can apply the gas laws to

relations between temperature and pressure.   Standard – CH.4.c

  Today’s Questions: How are P and T related?

Page 9: 2 10 How Are P And T Related

How are P & T related? Mr. Heffner 2/10/10

Page 10: 2 10 How Are P And T Related

How are P & T related?   Temperature is…

  a measure of movement

  °C & K

  Pressure is…   a measure of random collisions

  atm & mmHg

Page 11: 2 10 How Are P And T Related

How are P & T related?

temperature = collisions = pressure

temperature = pressure

Page 12: 2 10 How Are P And T Related

How are P & T related?   Pressure & Temperature are…

  directly related

  In math terms…

change in the same direction

P T = constant

“some number”

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How are P & T related?   By rearranging the relationship, we can get an equation

P1 T1

= constant = P2 T2

starting conditions

ending conditions

P1 T1

= P2 T2

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How are P & T related?   There is a 3 step process for solving gas equations:

1.  Write down the equation and given conditions

2.  Plug in for the variables

3.  Solve for the unknown

Page 15: 2 10 How Are P And T Related

At 298K (room temp), the pressure inside an empty Coke can is 1 atm. It is then thrown into a bucket of ice at 273K. What is the new gas pressure?

  Step 1: Write down the equation and given conditions

Example #1

P1 T1

= P2 T2

P1 T1 P2 T2

= =

= =

1 atm

298K

273K ?

Page 16: 2 10 How Are P And T Related

At 298K (room temp), the pressure inside an empty Coke can is 1 atm. It is then thrown into a bucket of ice at 273K. What is the new gas pressure?

  Step 2: Plug in for the variables

Example #1

P1 T1

= P2 T2

P1 T1 P2 T2

= =

= =

1 atm

298K

273K ?

1 atm 298K =

P2 T2

1 atm 298K =

P2 273K

Page 17: 2 10 How Are P And T Related

At 298K (room temp), the pressure inside an empty Coke can is 1 atm. It is then thrown into a bucket of ice at 273K. What is the new gas pressure?

  Step 3: Solve for the unknown

Example #1

1 atm 298K =

P2 273K

(1 atm)(273K) = (P2)(298K) 298K 298K

P2 = .92 atm

cross-multiply

Page 18: 2 10 How Are P And T Related

The pressure of oxygen gas at 300K is reduced to from 760mmHg to 380mmHg. What is the final temperature?

  Step 1: Write down the equation and given conditions

Example #2

P1 T1

= P2 T2

P1 T1 P2 T2

= =

= =

760 mmHg

300K

? 380 mmHg

Page 19: 2 10 How Are P And T Related

The pressure of oxygen gas at 300K is reduced to from 760mmHg to 380mmHg. What is the final temperature?

  Step 2: Plug in for the variables

Example #2

P1 T1

= P2 T2

P1 T1 P2 T2

= =

= =

760 mmHg

300K

? 380mmHg

760mmHg 300K = 380mmHg

? 760mmHg

300K = P2 T2

Page 20: 2 10 How Are P And T Related

The pressure of oxygen gas at 300K is reduced to from 760mmHg to 380mmHg. What is the final temperature?

  Step 3: Solve for the unknown

Example #2

✕ (760mmHg)(T2) = (380mmHg)(300K)

760mmHg 760mmHg 150K = T2

760mmHg 300K = 380mmHg

T2 1

2

Page 21: 2 10 How Are P And T Related

The pressure of Cl2 gas is 1 atm at 50K. What would the final pressure be if the temperature was raised to 100K?

  Step 1: Write down the equation and given conditions

Example #3

P1 T1

= P2 T2

P1 T1 P2 T2

= =

= =

1 atm

50K

100K ?

Page 22: 2 10 How Are P And T Related

Whiteboards   Work in pairs

  Trade-off marker every question

  You have 60 seconds to calculate the answer   Show all of your work!   Don’t forget units!

  Lift board only when prompted

Page 23: 2 10 How Are P And T Related

The temperature of a gas is raised by 50K. Draw an arrow (up/down) to show how pressure would be

affected.

Page 24: 2 10 How Are P And T Related

The pressure of a gas is lowered to .5 atm from STP.

Draw an arrow showing what would happen to the

temperature.

Page 25: 2 10 How Are P And T Related

A gas is sealed in a bottle at 400K and 2 atm. If put

into a freezer at 200K, what would the new pressure be?

Page 26: 2 10 How Are P And T Related

The pressure of CH4 (methane) gas at 10K is

increased from 2 atm to 10 atm. What is the new

pressure?

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Closing   Today’s Objective: I can describe how the random

collisions between gas molecules creates pressure on a surface.   Standard – CH.4.a

Molecular Motion Applet

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Exit Slip

1. What is pressure? a.  a force that comes from the interaction of molecules in

a chemical bond b.  the amount of kinetic energy in a substance

c.  a quantity that can be measured in mm d.  the force that a gas exerts on an object

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Exit Slip 2. Which of the following factors effect the

force that is exerted on an object?

a.  I only b.  II only

c.  II & III d.  I, II and III

# of collisions

I

gas temperature

II

molecular speed

III

Page 30: 2 10 How Are P And T Related

Exit Slip 3. Which of the following relationships is

correct? a.  an increase in temperature an increase in

pressure b.  a decrease in temperature an increase in kinetic

energy

c.  an increase in temperature a decrease in pressure d.  a decrease in temperature a increase in the

number and speed of collisions

Page 31: 2 10 How Are P And T Related

Exit Slip 4.  A soccer ball is inflated to a certain pressure

and is then heated in an oven. As it warms up the pressure increases because

a.  air molecules hit the walls of the ball less frequently b.  rubber in the soccer ball reacts with the air inside the

ball c.  air molecules speed up and collide with the wall of the

ball more often

d.  air molecules diffuse quickly out of the ball

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Exit Slip 5.  Would you expect a gas at 100°C to have a

higher pressure than a gas at 0°C? a.  No, because it has less kinetic energy

b.  No, because it has a higher temperature c.  Yes, because it has more random collisions d.  Yes, because it has less kinetic energy

Page 33: 2 10 How Are P And T Related

Homework   Finish practice questions

  Study for the quiz!


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