1. A sample of ideal gas at room temperature occupies a volume of 38.0 L at a pr
ID: 500839 • Letter: 1
Question
1. A sample of ideal gas at room temperature occupies a volume of 38.0 L at a pressure of 512 torr . If the pressure changes to 2560 torr , with no change in the temperature or moles of gas, what is the new volume, V2?
Express your answer with the appropriate units.
V2 =
2. If the volume of the original sample in Part A (P1 = 512 torr , V1 = 38.0 L ) changes to 51.0 L , without a change in the temperature or moles of gas molecules, what is the new pressure, P2?
Express your answer with the appropriate units.
P2 =
3. A sample of gas in a balloon has an initial temperature of 8.0 C and a volume of 1.38×103 L . If the temperature changes to 73 C , and there is no change of pressure or amount of gas, what is the new volume, V2, of the gas?
Express your answer with the appropriate units.
V2 =
4. What Celsius temperature, T2, is required to change the volume of the gas sample in Part A (T1 = 8.0 C , V1= 1.38×103 L ) to a volume of 2.76×103 L ? Assume no change in pressure or the amount of gas in the balloon.
Express your answer with the appropriate units.
T2 =
5. If the initial volume of the balloon is 2.5 L , what will its volume be after it cools? (Assume constant pressure.)
Express your answer using two significant figures.
V2 =
Explanation / Answer
1.
Initial Final
P1 = 512 torr P2 = 2560 torr
V1 = 38L V2 =
P1V1 = P2V2
V2 = P1V1/P2
= 512*38/2560 = 7.6L
2.
P1 = 512 torr P2 = torr
V1 = 38L V2 = 51L
P1V1 = P2V2
P2 = P1V1/V2
= 512*38/51 = 381.5torr
3.
Initial Final
V1 = 1.38*10^3L V2 =
T1 = 8C0 = 8+273 = 281K T2 = 73C0 = 73 + 273 = 346K
V1/T1 = V2/T2
V2 = V1T2/T1
= 1380*346/281 = 1699.2L
4.
Initial Final
V1 = 1.38*10^3L V2 =2.76*10^3
T1 = 8C0 = 8+273 = 281K T2 =
V1/T1 = V2/T2
T2 = V2T1/V1
= 2760*281/1380 = 562K
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