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Thermodynamics — JEE physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceJEE physicsThermodynamics1 Mark
MCQ
One mole of helium is adiabatically expanded from its initial state $\left(P_i, V_i, T_i\right)$ to its final state $\left(P_f, V_f, T_f\right)$. The decrease in the internal energy associated with this expansion is equal to
  • ✓
    $C_V\left(T_i-T_f\right)$
  • B
    $C_P\left(T_i-T_f\right)$
  • C
    $\frac{1}{2}\left(C_P+C_V\right)\left(T i-T_f\right)$
  • D
    $\left(C_P-C_V\right)\left(T_i-T_f\right)$
✓

Answer

Correct option: A.
$C_V\left(T_i-T_f\right)$
(a)$\Delta U=\mu C_V \Delta T=1 \times C_V\left(T_fT_i\right)=C_V\left(T_i-T_f\right) $

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