A liquid with a coefficient of volume expansi | vedclass

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Question

(B) The coefficient of linear expansion of the container material is $\alpha$. Therefore,the coefficient of volume expansion of the container is $\gam

Vedclass · Accepted Answer

$\gamma > 3 \alpha$

Vedclass · Answer

(B) The coefficient of linear expansion of the container material is $\alpha$. Therefore,the coefficient of volume expansion of the container is $\gamma_{container} = 3 \alpha$.When the system is heated,the liquid overflows if the increase in the volume of the liquid is greater than the increase in the volume of the container.This implies that the coefficient of volume expansion of the liquid $(\gamma)$ must be greater than the coefficient of volume expansion of the container $(\gamma_{container})$.Therefore,$\gamma > 3 \alpha$.

$A$ liquid with a coefficient of volume expansion $\gamma$ is filled in a container of a material having a coefficient of linear expansion $\alpha$. If the liquid overflows on heating,then

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