An ideal gas has molar specific heat C_p at constant pressure.When the temperature of n moles is increased by $\Delta$T the increase in the internal energy is: A)nC_p$\Delta$T B)n(C_p + R)$\Delta$T C)n(C_p - R)$\Delta$T D)n(2C_p + R)$\Delta$T E)n(2C_p - R)$\Delta$T

Question

Quizplus · Accepted Answer

The increase in internal energy for an ideal gas is given by $\Delta U = nC_v\Delta T$, where $C_v$ is the molar specific heat at constant volume. Using the relation $C_p = C_v + R$, we can rearrange for $C_v = C_p - R$. Therefore, the correct expression for the increase in internal energy is $n(C_p - R)\Delta T$.

An Ideal Gas Has Molar Specific Heat Cp at Constant Δ\DeltaΔ

An Ideal Gas Has Molar Specific Heat C_p at Constant $\Delta$