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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