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Specific Heat Capacities of Gases — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsSpecific Heat Capacities of Gases1 Mark
MCQ
Let $\triangle\text{W}_\text{a}$ and $\triangle\text{W}_\text{b}$ be the work done by the systems A and B, respectively, in the previous question.
  • A
    $\triangle\text{W}_\text{a}>​​\triangle\text{W}_\text{b}$
  • B
    $\triangle\text{W}_\text{a}=​​\triangle\text{W}_\text{b}$
  • ✓
    $\triangle\text{W}_\text{a}<​​\triangle\text{W}_\text{b}$
  • D
    The relation between $\triangle\text{W}_\text{a}$ and $\triangle\text{W}_\text{b}$ cannot be deduced.
✓

Answer

Correct option: C.
$\triangle\text{W}_\text{a}<​​\triangle\text{W}_\text{b}$


In the p-V diagram, the area under the curve w.r.t the V axis is equal to the work done by the system. Since the area under the isotherm is greater than that under the adiabat, the work done by system A is less than that done by system B. Hence, $\triangle\text{W}_\text{a}<​​\triangle\text{W}_\text{b}.$

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