An ideal gas is filled in a closed rigid and thermally insulated container. A coil of $100 Ω$ resistor carrying current 1 A for 5 min supplies heat to the gas. The change in internal energy of the gas is

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20 kJ

30 kJ

0 kJ

10 kJ

answer is B.

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Detailed Solution

The heat supplied under these conditions is the change in internal energy $Q = Δ U .$ The heat supplied is $Q = i^{2} R t 1 \times 1 \times 100 \times 5 \times 60 = 30000 J = 30 k J$

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