1. A sample of ideal gas at room temperature occupies a volume of 31.0 L at a pr

Question

1. A sample of ideal gas at room temperature occupies a volume of 31.0 L at a pressure of 612 torr . If the pressure changes to 3060 torr , with no change in the temperature or moles of gas, what is the new volume, V2 ?

2. If the volume of the original sample in Part A (P1 = 612 torr , V1 = 31.0 L ) changes to 61.0 L , without a change in the temperature or moles of gas molecules, what is the new pressure, P2 ?

3. A sample of ideal gas is in a sealed container. The pressure of the gas is 785 torr , and the temperature is 2 C . If the temperature changes to 86 C with no change in volume or amount of gas, what is the new pressure, P2 , of the gas inside the container?

4. Using the same sample of gas (P1 = 785 torr , T1 = 2 C ), we wish to change the pressure to 7850 torr with no accompanying change in volume or amount of gas. What temperature T2 , in Celsius, is needed to reach this pressure?

5. A sample of gas in a balloon has an initial temperature of 37 C and a volume of 1.86×103 L . If the temperature changes to 89 C , and there is no change of pressure or amount of gas, what is the new volume, V2 , of the gas?

6. What Celsius temperature, T2 , is required to change the volume of the gas sample in Part A (T1 = 37 C , V1 = 1.86×103 L ) to a volume of 3.72×103 L ? Assume no change in pressure or the amount of gas in the balloon.

Explanation / Answer

Answer:-

Part A:-

We use boyle’s law,

P1V1 = P2V2

Where,

P1 and V1 is the initial pressure and volume

P2 and V2 is the final pressure and volume

Simply plug in your values in above equation

612torr × 31.0L = 3060torr × V2

V2 = (612torr × 31.0L) / 3060torr

V2 = 6.2 L

Part B:-

We use boyle’s law,

P1V1 = P2V2

Where,

P1 and V1 is the initial pressure and volume

P2 and V2 is the final pressure and volume

Simply plug in your values in above equation

612torr × 31.0L = P2 × 61.0L

P2 = (612torr × 31.0L) / 61.0L

P2 = 311.02 torr

Part C:-

Whenever you are doing calculations with gases and temperature, you must convert the temperature from C into Kelvin.

2C + 273 = 275 K

86C + 273 = 359 K

Then use this formula

P1/T1 = P2/T2

P1 and T1 is the initial pressure and temperature

P2 and T2 is the final pressure and temperature

Simply plug in your values in above equation

785torr / 275 K = P2 / 359K

P2 = (785torr × 359 K) / 275K

P2= 1024.8torr

Part D:-

Whenever you are doing calculations with gases and temperature, you must convert the temperature from C into Kelvin.

2C + 273 = 275 K

Then use this formula

P1/T1 = P2/T2

P1 and T1 is the initial pressure and temperature

P2 and T2 is the final pressure and temperature

Simply plug in your values in above equation

785torr / 275 K = 7850torr / T2

T2 = (7850torr × 275 K) / 785torr

T2= 2750K

T2 = 2477 C

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