MolSynapsequestion bank

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

JEE Advanced levelSingle correct optionDifficulty 3 of 3td071

One litre of a monoatomic ideal gas at $8.00 bar$ expands reversibly and adiabatically to $8.00 L$ . Taking $1 L bar = 100 J$ , the work done by the gas is

A $360 J$
B $900 J$
C $600 J$
D $1663 J$

Answer: B

P_{2} = P_{1} (V_{1} / V_{2})^{5/3} = 8.00/32 = 0.250 bar

. Work done by the gas

= (P_{1} V_{1} - P_{2} V_{2}) / (γ - 1) = (8.00 - 2.00) / (2/3) = 9.00 L bar = 900 J

. The value

1663 J

is the isothermal

P_{1} V_{1} ln 8

result, and dividing by

γ

instead of

γ - 1

gives

360 J

.

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