A gas of mass m undergoes expansion at a cons | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) From the ideal gas equation,$PV = \frac{m}{M}RT$,where $M$ is the molar mass.For a constant pressure $P$,the volume $V$ is given by $V = (\frac{mR

Vedclass · Accepted Answer

$A$

Vedclass · Answer

(D) From the ideal gas equation,$PV = \frac{m}{M}RT$,where $M$ is the molar mass.For a constant pressure $P$,the volume $V$ is given by $V = (\frac{mR}{MP})T$.The slope of the $V-T$ graph is $S = \frac{mR}{MP}$.For the initial case,the slope is $S_1 = \frac{mR}{MP}$,which corresponds to graph $D$.For the second case,the mass is $2m$ and the pressure is $P/2$.The new slope is $S_2 = \frac{(2m)R}{M(P/2)} = 4 	imes \frac{mR}{MP} = 4S_1$.Since the slope of graph $D$ is proportional to $1$,the slope of the new graph will be proportional to $4$.Looking at the provided graph,the slopes increase from $E$ to $A$. Graph $D$ has a slope proportional to $1$,and graph $A$ has a slope proportional to $4$ (as $4 	imes 1 = 4$).Therefore,the correct graph is $A$.

$A$ gas of mass $m$ undergoes expansion at a constant pressure $P$,resulting in graph $D$. Which graph will be obtained if the same gas of mass $2m$ undergoes expansion at a pressure of $P/2$?

Similar Questions

$S.I.$ unit of universal gas constant is

Boyle's law holds for an ideal gas during

The pressure $Vs$ temperature graph of an ideal gas is shown in the figure. If the density of the gas at point $A$ is $\rho _0$,what will be the density at point $B$?

$4$ moles of an ideal gas is at $0^\circ C$. At constant pressure,it is heated to double its volume. Its final temperature will be ...... $^\circ C$.

Two vessels $A$ and $B$ contain oxygen. The volume of $B$ is twice that of $A$,the pressure of $B$ is thrice that of $A$ and the temperature of $B$ is half of that of $A$. Then,find the ratio of number of molecules of oxygen in vessels $A$ and $B$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module