Question

Having been heated to 800 K , at some point the tank starts to leak. By the time the leak is repaired, the tank contains only half as much gas, and the pressure of the remaining gas is again 1.00 atm . What is the temperature of the gas?

Answer 1

Answer: The temperature of the gas reduced to 400K.

Explanation:

Stated that ; The pressure remains the same, that is initial and final pressure equals 1atm.

Applying Charles Law

$V1/T1 = V2/T2$

Initial volume V1 = 1

Final volume V2 = 1/2 (halved)

Initial temperature T1 =800K

Final temperature T2 = ?

(1/800) = (1/2)/T2

T2 = 800/2

T= 400K

Therefore, when the volume is halved, the temperature reduced also to half ( 400K)