Question

A gas filled in a closed vessel is heated through 1k and its pressure increases by 0.4%. What was the initial temperature of ten gas?

Answer 1

In closed vessel, volume remains constant.

Therefore,

P1/P2 = T1/T2

P/P+0.004P = T1 / T1 + 1

(solve)

1/1.004 = T1 / T1 + 1

T1 = (T1+1) / 1.004

1.004T1 = T1 + 1

1.004T1 - T1 = 1

0.004T1 = 1

T1 = 1 / 0.004

T1 = 250K