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What pressure is required to prevent the...

What pressure is required to prevent the expansion of a copper block, if it is heated from `30^(@)C` to `40^(@)C`. Coefficient fo linear expansion of copper `alpha ` is `15 xx 10^(-6)//K` and bulk modulus ` = 12 xx 10^(10) N m^(-2)`.

Text Solution

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The correct Answer is:
`5.4 xx 10^(7) Nm^(-2)`
Cubical expansivity ` r= 3 alpha = 45 xx 10^(-6) //K . Delta V = V r ( t_(2) - t_(1)) , K = PV //Delta V `
`P = K r( t_(2) - t_(1)) = 12 xx 10^(10) xx 45 xx 10^(-6) ( 40-30) = 5.4 xx 10^(7) Nm^(-2)m`
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