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Question: Answered & Verified by Expert
A thermally insulated rigid container contains an ideal gas heated by a filament of resistance $100 \Omega$ through a current of $1 A$ for $5 \mathrm{~min}$ then change in internal energy is
PhysicsThermodynamicsJEE Main
Options:
  • A $0 \mathrm{~kJ}$
  • B $10 \mathrm{~kJ}$
  • C $20 \mathrm{~kJ}$
  • D $30 \mathrm{~kJ}$
Solution:
1908 Upvotes Verified Answer
The correct answer is: $30 \mathrm{~kJ}$
Volume of the ideal gas is constant so $W=P \Delta V=0$ using FLOT $\Delta Q=\Delta U \Rightarrow$
$\begin{aligned} & \Delta U=i^2 R t=1^2 \times 100 \times 5 \times 60 \\ & =30 \times 10^3=30 K J\end{aligned}$

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