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Question: Answered & Verified by Expert
A gas is compressed at a constant pressure of $50 \mathrm{~N} / \mathrm{m}^2$ from a volume of $10 \mathrm{~m}^3$ to a volume of $4 \mathrm{~m}^3$. Energy of $100 \mathrm{~J}$ then added to the gas by heating. Its internal energy is
PhysicsThermodynamicsJEE Main
Options:
  • A Increased by $400 \mathrm{~J}$
  • B Increased by $200 \mathrm{~J}$
  • C Increased by $100 \mathrm{~J}$
  • D Decreased by $200 \mathrm{~J}$
Solution:
2209 Upvotes Verified Answer
The correct answer is: Increased by $400 \mathrm{~J}$
$\begin{aligned} & \text { From FLOT } \Delta Q=\Delta U+\Delta W=\Delta U+P \Delta V \\ & \qquad \Rightarrow 100=\Delta U+50 \times(4-10) \Rightarrow \Delta U=400 \mathrm{~J}\end{aligned}$

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