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(D) For container $A$ (isobaric process),the heat supplied is given by $\Delta Q_A = \mu C_p \Delta T_A$.For container $B$ (isochoric process),the hea

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$42$

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(D) For container $A$ (isobaric process),the heat supplied is given by $\Delta Q_A = \mu C_p \Delta T_A$.For container $B$ (isochoric process),the heat supplied is given by $\Delta Q_B = \mu C_v \Delta T_B$.Since the heat supplied is the same,$\Delta Q_A = \Delta Q_B$.Therefore,$\mu C_p \Delta T_A = \mu C_v \Delta T_B$.This simplifies to $\Delta T_B = \frac{C_p}{C_v} \Delta T_A = \gamma \Delta T_A$.For a diatomic gas,the adiabatic index $\gamma = \frac{7}{5} = 1.4$.Given $\Delta T_A = 30\, K$,we have $\Delta T_B = 1.4 	imes 30 = 42\, K$.

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