Question

At constant P of $0.0821atm$ $\log V$ v/s $\log T$ graph is plotted for 3 samples of ideal gas as shown. The value of moles of gas in these three samples is respectively:


$(Given:log1=0,log2=0.3010,log3=0.4771)$

• A. $3,1,\frac{1}{2}$
• B. $\frac{1}{2},1,3$
• C. $1,\frac{1}{2},3$
• D. $\frac{1}{2},3,1$

Answer 1

The correct option is A $3,1,\frac{1}{2}$

$\frac{V}{T}=\text{constant}\left(k\right)\log V=\log T+\log k\text{where k}=\frac{nR}{P}$
for 2 graph
$\log \frac{nR}{P}=0=\log 1\frac{nR}{P}=1$ $(R=P)orn=1mol$
For 1 graph
$\log \frac{nR}{P}=\log 3orn=3$
For 3 graph
$log\frac{nR}{P}=-\log 2=\log \frac{1}{2}n=\frac{1}{2}mol$