Question

In which one of the following, does the given amount of chlorine exert the least pressure in a vessel of capacity $1d{m}^3$ at $273K$?

• A. $0.071g$
• B. $0.0355g$
• C. $0.02mol$
• D. $6.023\times 10^{21}molecules$

Answer 1

Answer: (B)

Ideal gas equation is

$pV=nRT$

When $V$ and $T$ are same,

$p\propto n$

Thus, when number of moles, ie, $n$ is least, it will exert least pressure.

(a) $n=\frac{\text{ wt }}{\text{ mol. }wt}=\frac{0.0355}{35.5}=1\times 10^{-3}\text{ mol }$

(b) $n=\frac{0.071}{35.5}=2\times 10^{-3}$ mol

(c) $n=\frac{\text{ number of molecules }}{N_A}$

$=\frac{6.023\times 10^{21}}{6.023\times 10^{23}}=0.01$ mol

(d) $n=0.02mol$

Thus, $0.0355g$ chlorine will exert the least pressure.