Part A A sample of ideal gas is in a sealed container. The pressure of the gas i

Question

Part A

A sample of ideal gas is in a sealed container. The pressure of the gas is 315 torr , and the temperature is 33 C . If the temperature changes to 96 C with no change in volume or amount of gas, what is the new pressure, P2, of the gas inside the container?

Express the pressure numerically in torr.

Part B

Using the same sample of gas (P1 = 315 torr , T1 = 33 C ), we wish to change the pressure to 3150 torr with no accompanying change in volume or amount of gas. What temperature T2, in Celsius, is needed to reach this pressure?

Express the temperature numerically in degrees Celsius.

Explanation / Answer

Part A :-

We know that PV = nRT

Where

T = Temperature ;P = pressure ; n = No . of moles ;R = gas constant ; V= Volume of the gas

As the gas remains the same , n will constant Also Volume of the gas not cahnged so V also constant

So P / T = constant

Thereby P / T = P' /T'

Where

P1 = initial pressure = 315 torr

T1 = initial temperature = 33 oC = 33+273 = 303 K

P2 = final pressure = ?

T2 = final temperature = 96 oC = 96+273 = 369 K

Plug the values we get P2 = (P1xT2) / T1

                                     = 383.6 torr

Part B :

Where

P1 = initial pressure = 315 torr

T1 = initial temperature = 33 oC = 33+273 = 303 K

P2 = final pressure = 3150 torr

T2 = final temperature = ?

Plug the values we get T2 = (P2xT1) / P1

                                     = 3030 K

                                     = 3030-273 oC

                                    = 2757 oC

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