Question

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what is the co-efficient of volume expansion?​

Answer 1

Answer:

the volumetric thermal expansion coefficient can be written: αV=1VdVdT α V = 1 V dV dT , where V is the volume of the material, and is dV/dT the rate of change of that volume with temperature.

Answer 2

Explanation:

If we consider α and γ as the linear and volumetric expansion then linear expansion is given by

L→L(1+αΔT)

Similarly,

V→V(1+γΔT).

Also, V=L

3

⟹V=L

3

(1+αΔT)

3

=L

3

(1+3αΔT+α

2

ΔT

2

+α

3

ΔT

3

)

Since the thermal expansion coefficient is of the order of parts per million per

o

C, we can neglect quadratic and cubic terms.

Hence, ⟹V=L

3

(1+3αΔT)

⟹γ=3α

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