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On heating a glass block of 10,000 cm^(3...

On heating a glass block of `10,000 cm^(3)` from `25^(@)C` to `40^(@)C`, its volume increase by `4cm^(3)`. Calculate coefficient of linear expansion of glass.

Text Solution

Verified by Experts

The correct Answer is:
8.39
Here V= 10,000 `cm^3`
`Delta T=(40-25)=15^@C,DeltaV=4cm^3`
The coefficient of cubical expansion is given by
`gamma =(DeltaV)/(V.DeltaT)=(4)/(10,000xx15)=26.67 xx 10^(-6)""^@C^(-1)`
`therefore` Coefficient of linear expansion,
`alpha=(gamma)/(3)=(26.67 xx 10^(-6))/(3)=8.89 xx 10^(-6)""^@C^(-1)`
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