The given figure represents two isobaric proc | vedclass

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

Question

(D) For an ideal gas,the equation of state is $PV = nRT$.Rearranging for $V$ as a function of $T$,we get $V = \left(\frac{nR}{P}\right)T$.Comparing th

Vedclass · Accepted Answer

$P_1 > P_2$

Vedclass · Answer

(D) For an ideal gas,the equation of state is $PV = nRT$.Rearranging for $V$ as a function of $T$,we get $V = \left(\frac{nR}{P}ight)T$.Comparing this with the equation of a straight line $y = mx$,where $y = V$ and $x = T$,the slope of the $V-T$ graph is given by $	ext{Slope} = \frac{nR}{P}$.Since $n$ and $R$ are constants,the slope is inversely proportional to the pressure,i.e.,$	ext{Slope} \propto \frac{1}{P}$.From the given figure,the slope of the line corresponding to $P_2$ is greater than the slope of the line corresponding to $P_1$,i.e.,$(	ext{Slope})_2 > (	ext{Slope})_1$.Since $	ext{Slope} \propto \frac{1}{P}$,a higher slope implies a lower pressure. Therefore,$P_2  P_2$.

The given figure represents two isobaric processes for the same mass of an ideal gas. Then:

Similar Questions

When the temperature of a gas in a closed vessel is increased by $2.4^{\circ} C$, its pressure increases by $0.5 \%$. The initial temperature of the gas is (in $^{\circ} C$)

Write the values of standard temperature and pressure $(STP)$.

When air is pumped into a cycle tyre, the volume and pressure of the air in the tyre both increase. What about Boyle's law in this case?

$A$ vessel is filled with an ideal gas at a pressure of $10 \text{ atm}$ and temperature $27^{\circ} C$. Half of the mass is removed from the vessel and the temperature of the remaining gas is increased to $87^{\circ} C$. Then the pressure of the gas in the vessel will be (in $\text{ atm}$)

$A$ gas is contained in a $5 \, L$ vessel at a pressure of $0.8 \, m$. It is connected to another evacuated vessel of $3 \, L$ capacity. What will be the resultant pressure in $m$ (at constant temperature)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module