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combined gas law

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Introduction to the Combined Gas Law
• The Combined Gas Law is a combination of Boyle’s Law,
Charles’ Law, and Gay-Lussac’s Law.
• It utilizes three factors –
P1 = Initial Pressure
V1 = Initial Volume
T1 = Initial Temperature
,
P1V1 = P2V2
T1
T2
, and
.
P2 = Final Pressure
V2 = Final Volume
T2 = Final Temperature
Example Questions:
1) The gas in a balloon has a pressure of 3.4 atm and a temperature of 220 K.
The balloon is then heated to 300 K, which causes the pressure to increase
to 4.8 atm. If the initial volume was 1.8 L, what was final volume of the gas?
2) A deflated football contains 0.5 L of gas at a pressure of 600 mmHg.
The football is then filled with gas until it contains 1.5 L of gas at
700 mmHg of pressure. If the gas started at a temperature of 32 °C,
what is the final temperature?
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Combined Gas Law – Practice Problems
Instructions: Use the Combined Gas Law to complete the review problems below.
1) A 2.7 L sample of argon gas is held at 7.0 atm of pressure and a temperature of 60 °C.
If the pressure of the gas is increased to 9.5 atm and the temperature is increased to
75 °C, what will be the new volume of the gas?
2) A large tire contains 9.5 L of gas at a pressure of 3.3 atm and a temperature of 279 K.
If the temperature of the gas increases to 303 K and the volume is increased to 11.9 L,
what will be the new pressure of the gas?
3) A sample of gas starts at 808 mmHg of pressure and a temperature of 274 K. The
pressure is then increased to 900 mmHg, and the temperature increases to 313 K.
If the final volume of the gas was 113 L, what was the initial volume of the gas?
4) A 3.0 L sample of nitrogen gas is held at 6.5 atm of pressure and a temperature of
322 K. The gas is then put into a canister where the pressure increases to 9.9 atm and
the volume is 1.5 L, what will be the new temperature of the gas?
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