Mock Test 1 — Thermodynamics

An ideal gas undergoes a cyclic process $A \to B \to A$. Total $\Delta U$:

The work done in compressing a gas adiabatically from $V_1, P_1$ to $V_2, P_2$:

Carnot's theorem implies:

The change in internal energy when $1$ mole of monatomic ideal gas is heated from $300$ K to $400$ K:

The kinetic energy of $1$ mole of nitrogen at $T$ K:

The pressure of $2$ moles of an ideal gas at $300$ K in a container of $24.93$ L is:

The RMS speeds of O₂ and H₂ at same temperature are in ratio:

For an adiabatic process, the slope of $P-V$ curve compared to isothermal:

A heat engine receives $Q_1$ at $400$ K, rejects $Q_2$ at $300$ K. For Carnot, $Q_2/Q_1$:

The molar heat capacity at constant pressure ($C_P$) for a diatomic gas:

A Carnot engine operates between $T_1 = 600$ K and $T_2 = 300$ K. Its efficiency (in %):

The ratio of $\gamma$ for monatomic to that for diatomic gas, multiplied by $10$, is the integer:

The translational KE per molecule of an ideal gas at $300$ K, in units of $10^{-21}$ J (rounded):

Assertion (A): The internal energy of an ideal gas depends only on its temperature. Reason (R): There are no intermolecular forces in an ideal gas.

Assertion (A): A Carnot engine cannot have $100\%$ efficiency unless the cold reservoir is at $0$ K. Reason (R): Efficiency of Carnot engine is $1 - T_2/T_1$.