coefficient of linear expansion of a crystal in 3 mutually perpendicular diretions are 0.0000085 ,0.0000105 ,0.000011 if the mass of the crystal is 25grams ,if the density at 0 degree c is 5grams find its volume

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Solution

Let coefficient of linear expansion be 'c'

Now,
c1 = 0.0000085
c2 = 0.0000105
c3 = 0.000011

coefficient of cubical expansion is = c1+c2+c3

=0.0000085 + 0.0000105 +0.000011

= 0.00003

Now , mass = 25

Density = 5

Volume =( mass / density)+(coeff.of.cubical expansion)

Volume = (25 / 5)+.00003
= 5+0.00003
= 5.00003

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