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Question

The coefficient of volume expansion of a liquid is 5×104 C1. If its temperature is increased by 30C, the percentage change in its density is

A
1.50
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B
1.5
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Solution

Given:
Coefficient of volume expansion of liquid, γ=5×104 C1
Change in temperature, ΔT=30C
We know that, due to thermal expansion, density as a function of temperature is given by, ρ=ρ0(1+γΔT)
ρ(1+γΔT)=ρ0
ρρ0=ργΔT
ρρ0ρ×100=γΔT×100
=5×104×30×100=1.5%
The negative sign indicates that the density decreases with increase in temperature.

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