Question

At the same temperature and pressure two identical balloons were filled with methane and sulphur dioxide. If sulphur dioxide escaped at the rate of 100 $ml/sec$, the methane would escape at the rate of:

• A. $50$ $ml/sec$
• B. $100$ $ml/sec$
• C. $200$ $ml/sec$
• D. $400$ $ml/sec$

Answer 1

Answer: (C)

$200$ $ml/sec$

$\frac{r_{s{o}_2}}{r_{C{H}_4}}=\sqrt{\frac{M_{C{H}_4}}{M_{s{o}_2}}}$
$\frac{100}{r_{C{H}_4}}=\sqrt{\frac{16}{64}}$
Thus, $r_{C{H}_4}=200$ $ml/sec$