Write the expression for the work done by an ideal gas in an isobaric process.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) An isobaric process is a thermodynamic process in which the pressure $P$ of the system remains constant.
For an ideal gas,the work done $W$ during a process is given by the integral $W = \int_{V_i}^{V_f} P \, dV$.
Since the pressure $P$ is constant in an isobaric process,it can be taken out of the integral:
$W = P \int_{V_i}^{V_f} dV$
$W = P(V_f - V_i)$
Using the ideal gas equation $PV = nRT$,we can also express this as:
$W = nR(T_f - T_i)$
where $n$ is the number of moles,$R$ is the universal gas constant,$V_i$ and $V_f$ are the initial and final volumes,and $T_i$ and $T_f$ are the initial and final temperatures.

Explore More

Similar Questions

$A$ monoatomic gas is supplied heat $Q$ very slowly while keeping the pressure constant. The work done by the gas will be

$A$ container having $1$ mole of a gas at a temperature $27^{\circ}C$ has a movable piston which maintains a constant pressure in the container of $1 \, atm$. The gas is compressed until the temperature becomes $127^{\circ}C$. The work done is ........ $J$ ($C_P$ for the gas is $7.03 \, cal/mol-K$).

$A$ gas expands by $0.25 \ m^{3}$ at a constant pressure of $10^{3} \ N/m^{2}$. Calculate the work done.

Which relation is correct for an isochoric process?

Which one of the following $p-V$ diagrams represents an isochoric process?

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo