Combination Gas Law

P1V1/T1 = P2V2/T2

  1. A helium balloon is inflated to a volume of 22L at 300K and a pressure of 5 atm. is raised to new temperature of 1000K with a new pressureof 35 atm. What will be the new volume?

Step 1 List the information

P1= 5 atmP2= 35 atm

V1= 22 LV2= ?

T1= 300 KT2=1000 K

Step 2 Write down the formula P1V1 = P2V2

T1 T2

Step 3 Plug the numbers into the formula

(5atm)(22L)(1000k) = V2

(300k)(35atm)

Step 4 Report the answer

V2=10.47L

  1. What are the values for the temperature and pressure at STP?

Pressure=1atm or 760mmHg

Temperature= 0oC or 273Kelvin

  1. Convert the following temperatures from Celsius to Kelvin.

a.225oC498 K

b.300oC573 K

c.-270oC3 K

  1. Convert the following temperatures from Kelvin to Celsius.

a.95K-178oC

b.273K0oC

c.1550K1277oC

In order to receive credit you must include units and show your work.

  1. A balloon filled with 10L of gas at 295K and 1 atm is placed in a room where the pressure is increased to 4 atm and the temperature is raised to 500K. What will the new volume be?

V2=P1V1T2(10 L)(1 atm)(500 K)= 4.23 L

P2T1 (295 K)(4 atm)

  1. A balloon filled with 25L of gas at 80K and 0.5 atm is placed in a room where the pressure is increased to 8 atm and the temperature is raised to 700K. What will the new volume be?

(25 L)(0.5 atm)(700 K) = 13.67L

(80 K)(8 atm)

  1. A balloon filled with 80L of gas at 600K and 8 atm is placed in a room where the new pressure is 1 atm and the temperature is raised to 100K. What will the new volume be?

(80 L)(8 atm)(100 K)= 106.67 L

(600 K)(1 atm)

  1. A balloon filled with 50L of gas at 95K and 1 atm is placed in a room where the new volume is 14L and the temperature is raised to 500K. What will the new pressure be?

P2 = P1V1T2(50 L)(1 atm)(500 K) = 18.79 atm

V2T1(95k)(14L)

  1. A balloon filled with 15L of gas at 295K and 1 atm is placed in a room where the new volume is 60L and the temperature is raised to 900K. What will the new pressure be?

(15 L)(1 atm)(900 K) = 0.763atm

(295 K)(60 L)

  1. A balloon filled with 80L of gas at 273K and 1 atm is placed in a room where the new volume is 6L and the temperature is raised to 50K. What will the new pressure be?

(80 L)(1 atm)(50 K) = 2.44 atm

(273 K)(6 L)

  1. A balloon filled with 25L of gas at 60K and 3 atm is placed in a room where the new volume is 600L and the new pressure is 0.3 atm. What will the new temperature be?

1 = P1V1(25 L)(3 atm)= 144 K

T2 P2V2T1(60 K)(600 L)(0.3 atm)

  1. A balloon filled with 44L of gas at 300K and 1 atm is placed in a room where the new volume is 35L and the new pressure is 8 atm. What will the new temperature be?

1 =(44 L)(1 atm)= 1909 K

T2 (300 K)(35 L)(8 atm)

  1. A balloon filled with 600L of gas at 100K and 1 atm is placed in a room where the new volume is 978L and the new pressure is 6 atm. What will the new temperature be?

1 = (600 L)(1 atm)= 978 K

T2 (100 K)(6 atm)(978 L)