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

Options

A. 10 KJ
B. 15 KJ
C. 20 KJ
D. 30 KJ

Answer

D

Explanation

The system is thermally insulated and the container is rigid.
`W=P" "dV=0" "therefore` v is constant.
`therefore` From first law of thermodynamics,
dQ = dU (the heat is supplied by the current carrying coil)
`thereforedU=I^(2)Rt=1xx1xx100xx5xx60=30,000J=30KJ`