One mole of helium is adiabatically expanded from its initi…

Physics Thermodynamics Adiabatic Process Single Correct MCQ

Published on: September 13, 2026

One mole of helium is adiabatically expanded from its initial state $(P_i, V_i, T_i)$ to its final state $(\mathbf{P_f}, \mathbf{V_f}, \mathbf{T_f})$ . The decrease in the internal energy associated with this expansion is equal to

$c_V (T_i - T_f)$

$c_{p}(T_{i} - T_{f})$

$\frac{1}{2} (C_P + C_V) (T_i - T_f)$

$(C_{P} - C_{V})(T_{i} - T_{f})$

Text Solution

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The correct answer is:

$\Delta U = \mu C_V \Delta T = 1 \times C_V (T_f - T_i) = - C_V (T_i - T_f)$

⇒ ⇒ | Δ Δ U| = C V (T i – T f )

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