why not coefficient of the apparentexpansion of the liquid =coefficient of the real expansion of the liquid +coefficient of the container expansion.please suggest?

When we heat a liquid there is expansion both in the liquid and the vessel too. But the expansion of the vessel is much smaller than the liquid. When we take the expansion of vessel into account

Observed expansion of liquid(or real expansion)= Apparent expansion of the liquid + Expansion of the vessel

The coefficient of apparent expansion of a liquid(g_a) is the ratio of observed increase in volume for a unit rise of temperature to the original volume of the liquid.

The coefficient of real expansion of the liquid(g_r) is defined as the ratio of actual increase in volume of a liquid for a unit rise in temperature to the original volume of the liquid.

If g_g is the expansion of the vessel, then

g_r (real expansion)= g_a (apparent expansion) + g_g(cubical expansion of vessel)

Thanks & Regards,

Vasantha Sivaraj,

askIITians faculty