A vessel contains an ideal monoatomic gas which expands at constant pressure, when heat Q is given t

English

Gujarati

Hindi

11.Thermodynamics

normal

A vessel contains an ideal monoatomic gas which expands at constant pressure, when heat $Q$ is given to it. Then the work done in expansion is :

A

$Q$

B

$\frac{3}{5}\,\,Q$

C

$\frac{2}{5} \,\,Q$

D

$\frac{2}{3}\,\,Q$

Solution

At constant pressure $\mathrm{W}=\mathrm{P} \Delta \mathrm{V}$

For monoatomic$:-$ $-C_{p}=\frac{5}{2} R$

and $\mathrm{Q}=\mathrm{nC}_{\mathrm{p}} \Delta \mathrm{T}$

$\Rightarrow Q=n \times \frac{5 R}{2} \times \frac{P \Delta V}{n R}=\frac{5}{2} w$

$\therefore W=\frac{2}{5} Q$

Standard 11

Physics

Share

Similar Questions

The internal energy change in a system that has absorbed $2\, k\,cals$ of heat and done $500\, J$ of work is …… $J$

normal

An ideal gas expands isothermally from a volume $V_1$ to $V_2$ and then compressed to original volume $V_1$ adiabatically. Initial pressure is $P_1$ and final pressure is $P_3$. The total work done is $W$. Then

normal

One mole of an ideal gas $\left( {\frac{{{C_p}}}{{{C_v}}} = Y} \right)$ heated by law $P = \alpha V$ where $P$ is pressure of gas, $V$ is volume, $\alpha $ is a constant. What is the molar heat capacity of gas in the process

normal

If the door of a refrigerator is kept open, then which of the following is true

normal

Choose the incorrect statement from the following

$S1$: The efficiency of a heat engine can be $1$, but the coefficient of performance of a refrigerator can never be infinity

$S2$: The first law of thermodynamics is basically the principle of conservation of energy

$S3$: The second law of thermodynamics does not allow several phenomena consistent with the first law

$S4$: A process, whose sole result is the transfer of heat from a colder to a hotter object is impossible

normal