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(D) Let the initial volume of the vessel be $V_0$ and the coefficient of volume expansion for both the vessel and the oil be $\gamma$. When the temper

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the vessel can contain more volume but the same mass of oil

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(D) Let the initial volume of the vessel be $V_0$ and the coefficient of volume expansion for both the vessel and the oil be $\gamma$. When the temperature increases by $\Delta T$,the new volume of the vessel is $V_v = V_0(1 + \gamma \Delta T)$. The new volume of the oil is $V_o = V_0(1 + \gamma \Delta T)$. Since the expansion is identical,the oil will continue to fill the vessel completely without any overflow. Because the volume of the vessel has increased,it can now contain a larger volume of oil compared to the initial state. However,since the density of the oil decreases as it expands,the mass $m = \rho V$ remains constant because the increase in volume is exactly compensated by the decrease in density. Thus,the vessel contains a larger volume of oil,but the total mass of the oil remains the same.

An open vessel is filled completely with oil which has the same coefficient of volume expansion as that of the vessel. On heating both the oil and the vessel,

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