Question

At what temperature would the volume of a gas be doubled, if the pressure at
the same time increases from 700 to 800 mm? (Considering the gas to be at 0°C).

Answer 1

Answer:

At what temperature will the volume of gas at 0°C double itself if the pressure is kept constant?

P1V1 = nRT1

P2V2 = nRT2

Divide one by the other:

P1V1/P2V2 = nRT1/nRT2

From which:

P1V1/P2V2 = T1/T2

(Or P1V1 = P2V2 under isothermal conditions)

Inverting and isolating T2 (final temp)

(P2V2/P1V1)T1 = T2 (Temp in K).

Now P1/P2 = 1

V1/V2 = 1/2

T1 = 273 K, the initial temp.

Therefore, inserting these values into above:

2 x 273 K = T2 = 546 K, or 273 C.