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11. thermodynamics — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics11. thermodynamics1 Mark
MCQ
The above $P-V$ diagram represents the thermodynamic cycle of an engine, operating with an ideal monatomic gas. The amount of heat, extracted from the source in a single cycle is
  • A
    $4P_0V_0$
  • B
    $P_0V_0$
  • ✓
    $\left( {\frac{{13}}{2}} \right)$ $ P_0V_0$
  • D
    $\;\left( {\frac{{11}}{2}} \right)$ $ P_0V_0$
✓

Answer

Correct option: C.
$\left( {\frac{{13}}{2}} \right)$ $ P_0V_0$
c
$Heat\,given\,to\,system = {\left( {n{C_V}\Delta T} \right)_{A \to B}} + {\left( {n{C_P}\Delta T} \right)_{B \to C}}$

$ = {\left[ {\frac{3}{2}\left( {nR\Delta T} \right)} \right]_{A \to B}} + {\left[ {\frac{5}{2}\left( {nR\Delta T} \right)} \right]_{B \to C}}$

$ = {\left[ {\frac{3}{2} \times {V_0}\Delta P} \right]_{A \to B}} + \left[ {\frac{5}{2} \times 2{P_0} \times {V_0}} \right]$

$ = \frac{{13}}{2}{P_0}{V_0}$

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