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Isothermal, adiabatic, isobaric, isochoric processes for ideal gases

36 questions on Isothermal, adiabatic, isobaric, isochoric processes for ideal gases from the Thermodynamics and Thermochemistry chapter: 8 NEET level, 13 JEE Main, 15 JEE Advanced. Each one opens with its answer and solution.

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One mole of an ideal gas undergoes free expansion (against zero external pressure) isothermally into an evacuated vessel so that its volume doubles. Which state... NEET level
For a reversible adiabatic process of an ideal gas with gamma = C_p/C_v, which relation holds? NEET level
For a process carried out at constant volume (only P-V work possible), the heat exchanged with the surroundings equals NEET level
One mole of an ideal gas is compressed isothermally and reversibly. Which statement is correct? NEET level
Three moles (3.00 mol) of an ideal gas at 300 K expand reversibly and isothermally from 5.00 L to 20.0 L. Calculate the magnitude of the work done by the gas in... JEE Main level
A monoatomic ideal gas at 300 K is compressed reversibly and adiabatically to one-eighth of its original volume. The final temperature is JEE Main level
Three moles of a diatomic ideal gas (C_p = tfrac72R) are heated at constant pressure from 300 K to 400 K. Find the heat absorbed in kJ (two decimals). Use R = 8... JEE Main level
One mole of an ideal gas expands against a constant external pressure of 1.00 bar from 10.0 L to 25.0 L. Taking 1 L bar = 100 J, the work done on the gas is JEE Main level
One mole of a monoatomic ideal gas at 400 K and 5.00 bar expands irreversibly and adiabatically against a constant external pressure of 1.00 bar until the gas r... JEE Main level
One mole of an ideal gas expands reversibly and adiabatically from volume V to 2V. Select the correct statement(s). JEE Advanced level
Two moles of a monoatomic ideal gas at 300 K occupy 10.0 L. The gas expands reversibly and adiabatically to 40.0 L. Calculate the magnitude of work done by the ... JEE Advanced level
One mole of an ideal gas is taken round the cycle A -> B -> C -> D -> A: A (2.00 bar, 10.0 L) -> B (2.00 bar, 30.0 L) isobaric; B -> C (5.00 bar, 30.0 L) isocho... JEE Advanced level
The same ideal gas is expanded from state (P_1, V_1, T) to volume V_2 along two isothermal paths: I, reversible; II, a single step against a constant external p... JEE Advanced level
Five moles of an ideal gas absorb 6.00 kJ of heat at constant pressure, and the temperature rises by 20.0 K. Taking R = 8.314 J mol^-1K^-1, the change in intern... JEE Advanced level
One mole of an ideal gas at 300 K is compressed reversibly and isothermally from 1.00 bar to 10.0 bar. Using R = 8.314 J mol^-1K^-1 and ln 10 = 2.303, the work ... JEE Main level
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 JEE Advanced level
One mole of a monoatomic ideal gas is heated from 300 K to 600 K, once at constant volume and once at constant pressure. Use R = 8.314 J mol^-1K^-1. Select the ... JEE Advanced level
One mole of a monoatomic ideal gas is at 2.00 bar and 10.0 L. For infinitesimal reversible changes from this state, select the correct statement(s). JEE Advanced level
One mole of an ideal gas expands reversibly and isothermally. If q is the heat absorbed and w the work done on the gas, which relation holds? NEET level
An ideal gas is compressed reversibly in a perfectly insulated cylinder (q = 0). Its temperature will NEET level
Two moles of an ideal gas are heated from 300 K to 350 K at constant pressure. Taking R = 8.314 J mol^-1K^-1, the magnitude of work done by the gas is nearest t... NEET level
A fixed amount of ideal gas in a rigid closed vessel absorbs 500 J of heat. Which statement is correct? NEET level
One mole of an ideal gas expands reversibly and isothermally at 300 K from 2 L to 20 L. Taking R = 8.314 J mol^-1K^-1, the work done on the gas is nearest to JEE Main level
A monatomic ideal gas at 300 K is compressed reversibly and adiabatically to half its volume. The final temperature is nearest to JEE Main level
Three moles of a diatomic ideal gas (C_P = tfrac72R) are heated from 300 K to 400 K at constant pressure. Taking R = 8.314 J mol^-1K^-1, find the heat absorbed ... JEE Main level
Two moles of a monatomic ideal gas at 400 K expand adiabatically and reversibly, doing 3.0 kJ of work on the surroundings. Taking R = 8.314 J mol^-1K^-1, find t... JEE Main level
One mole of a monatomic ideal gas at 300 K doubles its volume, once by a reversible isothermal path and once by a reversible adiabatic path. The ratio |w_adiaba... JEE Main level
Half a mole of nitrogen (treated as a rigid diatomic ideal gas, C_V = tfrac52R) in a rigid vessel is heated from 300 K to 450 K. Taking R = 8.314 J mol^-1K^-1, ... JEE Main level
One mole of an ideal gas expands reversibly and isothermally from V_1 to 2V_1. Select all correct statements. JEE Main level
One mole of a monatomic ideal gas at 300 K and 10 L (state A) undergoes a cycle: A to B, reversible isothermal expansion to 30 L; B to C, isobaric compression t... JEE Advanced level
One mole of a monatomic ideal gas at 310 K and 10 bar expands adiabatically against a constant external pressure of 1 bar until it reaches mechanical equilibriu... JEE Advanced level
Two moles of a diatomic ideal gas (C_V = tfrac52 R) at 400 K and 5 bar expand adiabatically to 1 bar, once irreversibly against a constant external pressure of ... JEE Advanced level
One mole of a rigid diatomic ideal gas (gamma = 1.4) at T_1 and P_1 expands reversibly and adiabatically to twice its initial volume. Select all correct stateme... JEE Advanced level
One mole of a monatomic ideal gas at 400 K expands reversibly along the path PV^2 = constant to twice its volume. Taking R = 8.314 J mol^-1K^-1, find the heat q... JEE Advanced level
For a monatomic ideal gas the pressure is proportional to the volume (P propto V) during a reversible process. Taking R = 8.314 J mol^-1K^-1, the molar heat cap... JEE Advanced level
One mole of a monatomic ideal gas goes from (P_0, V_0) at 300 K to (2P_0, 2V_0). Path I: isochoric heating to 2P_0, then isobaric expansion to 2V_0. Path II: is... JEE Advanced level