Question

An open flask contains air at ${27}^o$C. The temperature (in $K$) at which it should be heated so that $\frac{1}{3}rd$ of air measured at final temperature escapes out is ______$\times 100$.

Answer 1

Let mole present at '$300$' $K$ = $n$

Mole coming out = $n/3$

Thus mole at $T$ $K$ should be $n-\frac{n}{3}=\frac{2n}{3}$

Therefore, $n_1{T}_1$ = $n_2{T}_2$

$n\times 300=\frac{2n}{3}\times T$

$T=450K$ or $4.5\times 100$