Browse Questions

A vessel containing 1gm of oxygen at a pressure of 10atm a temperature of $47^{\large\circ}C$.It is found that because of a leak,the pressure drops to $\large\frac{5}{8}$th of its original value & temperature falls to 2x.Find the mass of oxygen that has leaked out.

$\begin{array}{1 1}(A)\;\large\frac{1}{3}\\(B)\;\large\frac{2}{3}\\(C)\;\large\frac{3}{5}\\(D)\;\large\frac{2}{5}\end{array}$

$\large\frac{P_1}{u_1T_1}=\frac{P_2}{u_2T_2}$
$V$ constant
$\large\frac{10}{1\times 320}=\frac{50}{8x\times 300}$
$\Rightarrow x=\large\frac{1}{3}$
Hence (A) is the correct answer.