The figure shows the variation in heat suppli | vedclass

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

Question

(A) For an isobaric process,the heat supplied is given by $Q = n C_p \Delta T$,where $n$ is the number of moles and $C_p$ is the molar heat capacity a

Vedclass · Accepted Answer

$P, D$ and $M$

Vedclass · Answer

(A) For an isobaric process,the heat supplied is given by $Q = n C_p \Delta T$,where $n$ is the number of moles and $C_p$ is the molar heat capacity at constant pressure.From the graph,the slope of the line is $\frac{Q}{\Delta T} = n C_p$.Since the number of moles $n$ is the same for all gases,the slope is directly proportional to $C_p$.The molar heat capacity at constant pressure is $C_p = C_v + R = \left( \frac{f}{2} + 1 ight) R$,where $f$ is the degree of freedom.For monoatomic gas $(M)$,$f = 3$,so $C_p = (1.5 + 1) R = 2.5 R$.For diatomic gas $(D)$,$f = 5$,so $C_p = (2.5 + 1) R = 3.5 R$.For polyatomic gas $(P)$,$f = 6$,so $C_p = (3 + 1) R = 4 R$.Thus,$C_p(P) > C_p(D) > C_p(M)$.Since the slope is proportional to $C_p$,the slopes follow the order: $	ext{slope}(a) > 	ext{slope}(b) > 	ext{slope}(c)$.Therefore,line $a$ corresponds to $P$,line $b$ corresponds to $D$,and line $c$ corresponds to $M$.

Similar Questions

In the case of a diatomic gas,the fraction of heat supplied at constant pressure that is used for the expansion of the gas is:

Which of the following statements is correct regarding the molar specific heat of $1$ mole of an ideal gas at constant pressure $(C_P)$ and constant volume $(C_V)$?

The molar specific heat of an ideal gas at constant pressure and constant volume is $C_p$ and $C_v$ respectively. If $R$ is the universal gas constant and the ratio of $C_p$ to $C_v$ is $\gamma$,then $C_v=$

Write the value of $\frac{C_P}{C_V}$ for a monoatomic gas.

What is molar specific heat? Write its unit and also definitions of molar specific heat at constant pressure and constant volume.

Vedclass Test Series

Exam Paper Generator

Online Exam Module