You fill a tank with gas at 30°C and 101.5 kPa and seal it. You decrease the temperature to 10°C but keep the volume constant. What happens to the pressure? (Careful!

Chemistry · High School · Tue Nov 03 2020

Answered on

We can apply idea gas law

Pv = nRT

Here, Volume v, n and R are constant. So,

(T1)(p2) = (T2)(p1)

T1 = 30°C = 273 + 30 Kelvin

= 303 K

T2 = 10° = 273 + 10 k

= 283 k

And, P = 101.5 kpa

So, 303 × P2 = 283 × 101.5 

P2 = 94.8 kpa

 

Hence, pressure decreases