An insulated system contains 4 moles of an ideal diatomic gas at temperature (T ). When a heat (Q ) is supplied to the gas, 2 moles of the gas is dissociated into atoms and the temperature remained constant.Then the relation between (Q ) and (T ) is ( ( R = ) universal gas constant.)

Step-by-step solution

Given, number of moles of an ideal diatomic gas at the temperature, (T=4 ) When heat (Q ) is supplied to the gas, 2 mole of the gas is dissociated into atoms and the temperature remains constant, therefore heat supplied = change in its internal energy i.e., (Q= u= (u_f-u_i ) ) or (Q= ) (internal energy of 4 moles of a monatomic gas + internal energy of 2 moles of diatomic gas) (internal energy of 4 moles of a diatomic gas) ( aligned & = (4 3 2 R T+2 5 2 R T )- (4 5 2 R T ) & =6 R T+5 R T-10 R T=R T aligned )