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11.Thermodynamics
medium
A thermodynamic system is taken from an original state to an intermediate state by the linear process shown in Figure.
Its volume is then reduced to the original value from $E$ to $F$ by an isobaric process. Calculate the total work done (in $J$) by the gas from $D$ to $E$ to $F$
A
$450$
B
$496$
C
$373$
D
$510$
Solution
Total work done by the gas from D to E to $F =$ Area of $\Delta DEF$ Area of $\Delta DEF =\frac{1}{2} DE \times EF$
Where,
$DF =$ Change in pressure
$=600 N / m ^{2}-300 N / m ^{2}$
$=300 N / m ^{2}$
$FE =$ Change in volume
$=5.0 m ^{3}-2.0 m ^{3}$
$=3.0 m ^{3}$
Area of $\Delta DEF = \frac{1}{2} \times 300 \times 3=450 J$
Therefore, the total work done by the gas from $D$ to $E$ to $F$ is $450 J.$
Standard 11
Physics
