Question

Which of the following graphs is not a straight line for an ideal gas?

• A. $V\to T$
• B. $T\to P$
• C. $n\to \frac{1}{T}$
• D. $n\to \frac{1}{P}$

Answer 1

The correct option is D $n\to \frac{1}{P}$

We know from ideal gas equation,

$PV=nRT$

So, n is proportional to $\frac{1}{T}$,P and V

We have, $nT=constant$,

$⟹\frac{n}{P}=constant$

$Also,\frac{P}{T}=constant$

So, graph of $T-P$ will be a straight line

Graph of $V$ verses $T$ will be a straight line

Graph of $n$ verses $\frac{1}{T}$ will be a straight line

Graph of $n$ verses $P$ will be a straight line but $n$ verses $\frac{1}{P}$ will not be a straight line