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5. Thermodynamics and thermochemistry — Chemistry STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceChemistry5. Thermodynamics and thermochemistry1 Mark
MCQ
A given mass of gas expands reversibly from the state $A$ to the state $B$ by three paths $1, 2$ and $3$ as shown in the figure. If $w_1, w_2$ and $w_3$ respectively be the work done by the gas along three paths then:
  • A
    $w_1 > w_2 > w_3$
  • ✓
    $w_1 < w_2 < w_3$
  • C
    $w_1 = w_2 = w_3$
  • D
    $w_2 < w_3 < w_1$
✓

Answer

Correct option: B.
$w_1 < w_2 < w_3$
b
A given mass of gas expands from the $A$ to the state $B$ by three paths $1,2$ and $3$ as shown in the figure.

Work done $=$ Area under $PV$ curve

In the given graph, more the area below the path followed, more is the work done. Therefore, in the $P - V$ graph, the area under path $3$ is more than $2$ which is more than $1$. If $w _1, w _2$ and $w _3$ respectively be the work done by the gas along three paths then $w _1\,<\, w _2\,<\, w _3$.

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