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The value of coefficient of volume expansion of glycerine is 5 × 10-4 K-1. The fractional change in the density of glycerine for a rise of 40°C in its temperature, is:
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- 0.020
- 0.025
- 0.010
- 0.015
Correct Option: A
From question,
Rise in temperature ∆t = 40°C
Fractional change in the density ∆ρ/ρ0 = ?
Coefficient of volume expansion
γ = 5 × 10–4K–1
ρ = ρ0 (1 –γ∆t)
⇒ ∆ρ/ρ0 = γ∆T = (5 × 10–4) (40) = 0.02
