A thermally insulated rigid container contains an ideal gas heated by a filament of resistance $100 \,\Omega$ through a current of $1\,A$ for $5$ min then change in internal energy is...... $kJ$
A$0$
B$10$
C$20$
D$30$
IIT 2005, Medium
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D$30$
d (d) Volume of the ideal gas is constant so $W = P\Delta V = 0$
using FLOT $\Delta Q = \Delta U$==> $\Delta U = {I^2}Rt$$ = {1^2} \times 100 \times 5 \times 60$
$ = 30 \times {10^3} = 30KJ$
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