A monoatomic gas of n moles is heated from te | vedclass

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(C) The change in internal energy of an ideal gas is given by the formula $\Delta U = n C_V \Delta T$.Since the gas is monoatomic,the molar heat capac

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Same in both cases

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(C) The change in internal energy of an ideal gas is given by the formula $\Delta U = n C_V \Delta T$.Since the gas is monoatomic,the molar heat capacity at constant volume $C_V$ is constant,given by $C_V = \frac{3}{2}R$.Internal energy is a state function,meaning it depends only on the initial and final states of the system (temperature $T_1$ and $T_2$) and not on the path or process taken to reach the final state.Therefore,for a given change in temperature $\Delta T = T_2 - T_1$,the change in internal energy $\Delta U$ remains the same regardless of whether the process occurs at constant volume or constant pressure.

$A$ monoatomic gas of $n$ moles is heated from temperature $T_1$ to $T_2$ under two different conditions: $(i)$ at constant volume and $(ii)$ at constant pressure. The change in internal energy of the gas is

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