Solved: Calculate the final temperature, in degrees Celsius, for each of the following

Problem 8.31

Calculate the final temperature, in degrees Celsius, for each of the following, if n and V are constant: a. A sample of xenon gas at 25 and 740. mmHg is cooled to give a pressure of 620. mmHg. b. A tank of argon gas with a pressure of 0.950 atm at -18 is heated to give a pressure of 1250 torr.

                                                              Step by Step Solution

Step 1 of 2

(a)
According to the Gay-Lussac law, Pressure is directly proportional to the Kelvin temperature at the constant volume.

Here,

P = Pressure of the gas

T = Temperature of the gas

At different pressure and temperatures the equation would be as follows;

.....................(1)

 = Initial pressure

 = Final pressure

 = Initial temperature

 - Final temperature.

From the given,

Let’s convert the temperature  into Kelvins.

Substitute the values in the equation (1)

Let’s convert the temperature “Kelvins “ into

Therefore, the final temperature of the gas is .