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11. thermodynamics — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics11. thermodynamics1 Mark
MCQ
One mole of helium is adiabatically expanded from its initial state $({P_i},{V_i},{T_i})$ to its final state $({P_f},{V_f},{T_f})$. The decrease in the internal energy associated with this expansion is equal to
  • ✓
    ${C_V}({T_i} - {T_f})$
  • B
    ${C_P}({T_i} - {T_f})$
  • C
    $\frac{1}{2}({C_P} + {C_V})(Ti - {T_f})$
  • D
    $({C_P} - {C_V})({T_i} - {T_f})$
✓

Answer

Correct option: A.
${C_V}({T_i} - {T_f})$
a
(a)$\Delta U = \mu {C_V}\Delta T = 1 \times {C_V}({T_f} - {T_i}) = - \,{C_V}({T_i} - {T_f})$
==> |$\Delta U$| $= C_V (T_i -T_f)$

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