If R = universal gas constant, the amount of heat needed to raise the temperature of 2 mole of an ideal monoatomic gas from 273 K to 373 K when no work is done

Options

A. 500 R
B. 300 R
C. 150 R
D. 100 R

Answer

B

Explanation

dQ = dU + dW but dW = 0
`thereforedQ=dU=nC_(V)dT`
In this case n = 2 mole, dT = 100
`C_(V)` for an ideal monoatomic gas = `3/2R`
`thereforedQ=2xx3/2Rxx100=300R`