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A rectangular copper block measures 20cm...

A rectangular copper block measures `20cm times 12cm times 3cm`. What will be the change in volume of the block when it is heated from `0^(@)C " to " 800^(@)C`? Coefficient of linear expansion of copper is `0.16 times 10^(-4@)C^(-1)`.

Text Solution

Verified by Experts

Initial volume of the block, `V_(0)=20 times 12 times 3=720cm^(3)`, increase in temperature =`t_(2)-t_(1)=800-0=800^(@)C`.
`gamma=2alpha=3 times 0.16 times 10^(-4@)C^(-1)`
Cubical expansion,
`V_(800)-V_(0)=V_(0) times gamma times (800-0)`
`" " =720 times 3 times 0.16 times 10^(-4) times 800=27.65 cm^(3)`
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