Question 438: Thermodynamics & KTG

Question

An external pressure P is applied on a cube at 0
o
C so that it is equally compressed from all sides. K is the
bulk modulus of the material of the cube and $\alpha$ is its coefficient of linear expansion. Suppose we want to
bring the cube to its original size by heating. The temperature should be raised by:

Accepted Answer

As we know, Bulk modulus
K = ${{\Delta P} \over {\left( {{{ - \Delta V} \over V}} ight)}}$
$ \Rightarrow $ ${{{\Delta V} \over V} = {P \over K}}$
V = V
0
(1 + $\gamma $$\Delta $t)
${{{\Delta V} \over {{V_0}}} = \gamma \Delta t}$
$ 	herefore $ ${{P \over K} = \gamma \Delta t}$
$ \Rightarrow $ ${\Delta t = {P \over {\gamma K}}}$ = ${{P \over {3\alpha K}}}$

Answer

${P \over {3\alpha K}}$

Answer

${P \over {\alpha K}}$

Answer

${3 \alpha \over {P K}}$

Answer

3PK$\alpha$

Thermodynamics & KTG

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