One mole of a monoatomic ideal gas is contained in an insulated and rigid container. It is heated by passing a current of 2A for 10 minutes through a filament of resistance `100Omega`. What is change in the internal energy of the gas ?

Options

A. 240 KJ
B. 30 KJ
C. 60 KJ
D. 120 KJ

Answer

A

Explanation

H = dQ = `I^(2)RT` (assuming that all are expressed in the heat units)
`=2xx2xx100xx10xx60=240xx10^(3)J=240KJ`
The gas is kept in an insulated and rigid cylinder
`therefore` V = constant or dV = 0 and PdV = 0
`therefore` From first law of thermodynamics,
`dQ=dU+dW=dU+PdV=dU+0`
`thereforedU=240KJ`