The pressure applied from all directions on a cube is P. How much its temperature should be raised to maintain the original volume? The volume elasticity of the cube is $\beta$ and the coefficient of volume expansion is $\alpha$
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If coefficient of volume expansion is $\alpha$ and rise in temperature is $\Delta \Theta$ then $\Delta V = \sqrt{\alpha \Delta \theta}$ ⇒ ⇒
$\frac{\Delta V}{V} = \alpha \Delta \theta$
Volume elasticity $\beta = \frac{P}{\Delta V N}$ $= \frac{P}{\alpha \Delta \theta}$ ⇒ ⇒ $\Delta \theta = \frac{P}{\alpha \beta}$
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