MolSynapsequestion bank

MolSynapse / Question bank / Thermodynamics and Thermochemistry / Isothermal, adiabatic, isobaric, isochoric processes for ideal gases

JEE Main levelSingle correct optionDifficulty 2 of 3td177

One mole of an ideal gas expands reversibly and isothermally at $300 K$ from $2 L$ to $20 L$ . Taking $R = 8.314 J mo l^{- 1} K^{- 1}$ , the work done on the gas is nearest to

A $5743 J$
B $- 5743 J$
C $- 2494 J$
D $- 5480 J$

Answer: B

For reversible isothermal expansion

w = - n RT ln (V_{2} / V_{1}) = - 8.314 \times 300 \times ln 10 = - 5743 J

. The sign is negative because the gas does work on the surroundings.

Practice Thermodynamics and Thermochemistry More on Isothermal, adiabatic, isobaric, isochoric processes for ideal gases

Previous questionNext question

More questions on Isothermal, adiabatic, isobaric, isochoric processes for ideal gases