1. A sample of an ideal gas at 1.00 atm and a volume of 1.04 L was placed in a w

Question

1. A sample of an ideal gas at 1.00 atm and a volume of 1.04 L was placed in a weighted balloon and dropped into the ocean. As the sample descended, the water pressure compressed the balloon and reduced its volume. When the pressure had increased to 15.0 atm, what was the volume of the sample? Assume that the temperature was held constant.

*answer in L

2. A flexible container at an initial volume of 7.14 L contains 8.51 mol of gas. More gas is then added to the container until it reaches a final volume of 13.9 L. Assuming the pressure and temperature of the gas remain constant, calculate the number of moles of gas added to the container.

*answer in mol

3. A sample of an ideal gas has a volume of 2.35 L at 284 K and 1.12 atm. Calculate the pressure when the volume is 1.94 L and the temperature is 298 K.

*answer in atm

Explanation / Answer

1)

P1V1 = P2V2

1*1.04 = 15*V2

V2 = 1*1.04 / 15 = 0.069333 L

2)

V1/n1 = V2/n2

7.14/8.51 = 13.9/n2

n2 = 13.9*7.14/8.51 = 11.662

3)

V1P1/T1 = V2P2/T2

2.35*1.12/284 = 1.94*P2/298

P2 = 2.35*1.12/284 *(298/1.94) = 1.423 atm

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