Real and apparent expansion in liquid

 

Real and apparent expansion in liquid

The liquid have no fixed shape or size they takes the shape of vessel. When liquid is heated inside the vessel then there are two types of expansion. i.e. Real expansion and Apparent expansion
Real expansion is the total expansion of the liquid and apparent expansion is the expansion that observed from outside.

Consider, a glass vessel filled with liquid to a level ‘A’. When it is heated first vessel get heated and liquid level falls down from ‘A’ to ‘B’. Then after liquid is heated and finally level rises to ‘C’ as shown in figure.

Let, ‘V’ is the original volume of liquid ‘θ₁’ is the initial temperature and ‘θ₂’ is final temperature.

Then,
From figure,

             BC = AC + AB

             Real expansion = Apparent expansion + Vessel expansion

ΔV_r = ΔV_A + ΔV_g                      {ΔV = V₂ – V₁}

or, Vγ_RΔθ = Vγ_AΔθ + Vγ_gΔθ

or, γ_{R =} γ_A + γ_g

or,   γ_{R =} γ_A + 3α

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