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Coefficient of apparent expansion of mer...

Coefficient of apparent expansion of mercury with respect to glass is `153 times 10^(-6@)C^(-1)`. Find the coefficient of linear expansion `(alpha_(g))` of glass where coefficent of real expansion of mercury is `180 times 10^(-6@)C^(-1)`.

Text Solution

Verified by Experts

Since coefficient of real expansion `(gamma)` of mercury = coefficient of apparent expansion `(gamma^(.))` of mercury + coefficient of volume expansion of the material of the container `(gamma_(g)),`
`" " 180 times 10^(-6)=153 times 10^(-6)+gamma_(g)`
or, `" " gamma_(g)=(180-153) times 10^(-6)=27 times 10^(-6@)C^(-1)`
Also, `" " gamma_(g)=3alpha_(g)" "[alpha_(g)` = coefficient of linear expansion of the material of the container]
`therefore " " alpha_(g)=gamma_(g)/3=27/3 times 10^(-6)=9 times 10^(-6@)C^(-1).`
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