Question

Root mean square velocity of a gas is $xm{S}^{-1}$ at a pressure $patm$ and temperature TK. If pressure is made 2p under isothermal condition , root mean square speed becomes ?

• A. $2X$
• B. $4X$
• C. $\frac{x}{2}$
• D. $X$

Answer 1

Answer: (B)

$4X$

$P=\frac{1}{3}\left(d\right)V_{rms}^2$

$P=\frac{1}{3}(n.\frac{M}{V})V_{rms}^2$

$P=$ Pressure

$d=$ density of gas

$n=$ number of moles

$M=$ Mass of gas

$V_{rms}=$ root mean square velocity.

Root mean square velocity of a gas is $xm{S}^{-1}$ at a pressure $Patm$

If pressure is doubled, $V_{rms}$ will increase $4$ times.

root mean square speed becomes $4X$