An insulated system contains 4 moles of an id | vedclass

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(A) Initial state: $4$ moles of diatomic gas at temperature $T$. Internal energy $U_i = 4 	imes \frac{5}{2} RT = 10 RT$.Final state: After dissociati

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$Q=R T$

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(A) Initial state: $4$ moles of diatomic gas at temperature $T$. Internal energy $U_i = 4 	imes \frac{5}{2} RT = 10 RT$.Final state: After dissociation,$2$ moles of diatomic gas remain,and $2$ moles of diatomic gas dissociate into $4$ moles of monatomic gas (since $1$ mole of $X_2$ gives $2$ moles of $X$).Final internal energy $U_f = (2 	imes \frac{5}{2} RT) + (4 	imes \frac{3}{2} RT) = 5 RT + 6 RT = 11 RT$.Since the temperature remains constant,the heat supplied $Q$ is equal to the change in internal energy $\Delta U$.$Q = U_f - U_i = 11 RT - 10 RT = RT$.

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 remains constant. Then the relation between $Q$ and $T$ is ($R=$ universal gas constant.)

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