Question

The curve between $v_{rms}^2$ and pressure $P$ for constant volume is

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

We know that
Pressure $P=\frac{1}{3}\frac{M}{V}{v}_{rms}^2$
Where, $M$=Molar mas, $V$=volume (constant)
$\therefore P=a{v}_{\text{rms}}^2$
where $a=\frac{M}{3V}=$ constant
$\therefore$ Let $P=X$ and $v_{\text{rms}}^2=Y$
$\Rightarrow X=aY$
$\Rightarrow Y=\frac{1}{a}X$
$Y=mX+c$ (comparing with the eqn of straight line)
(thus, straight line passes through origin)