Question 629: Thermodynamics & KTG

Question

A non-isotropic solid metal cube has coefficients of linear expansion as : 5 $$ 	imes $$ 10-5/oC along the x-axis and 5 $$ 	imes $$ 10-6/oC along the y and the z-axis. If the coefficient of volume expansion of the solid is C $$ 	imes $$ 10-6/oC then the value of C is

Accepted Answer

$$\gamma $$ = $$\alpha $$
x
+ $$\alpha $$
y
+ $$\alpha $$
z
$$ \Rightarrow $$ C $$ 	imes $$ 10
Ã¢ÂÂ6
= 5 ÃÂ 10
Ã¢ÂÂ5
+ 5 ÃÂ 10
Ã¢ÂÂ6
+ 5 ÃÂ 10
Ã¢ÂÂ6
$$ \Rightarrow $$ C $$ 	imes $$ 10
Ã¢ÂÂ6
= 50 ÃÂ 10
Ã¢ÂÂ6
+ 10 ÃÂ 10
Ã¢ÂÂ6
$$ \Rightarrow $$ C = 60

Thermodynamics & KTG

A non-isotropic solid metal cube has coefficients of linear expansion as : 5 $ \times 10-5/oC along the x-axis and 5 \times 10-6/oC along the y and the z-axis. If the coefficient of volume expansion of the solid is C \times $ 10-6/oC then the value of C is

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