An insulator container contains `4` moles of an ideal diatomic gas at temperature T. Heat Q is supplied to this gas, due to which `2` moles of the gas are dissociated into atoms but temperature of the gas remains constant. Then

Options

A. Q = 2RT
B. Q = RT
C. Q = 3RT
D. Q = 4RT

Answer

B

Explanation

Since, `Q=Delta U=U_f-U_i`
`implies Q= (4xx3/2 R T+2xx5/2 R T)-(4xx 5/2 R T)`
`implies Q = R T` `["as U "= f/2 n R T]`