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The coefficient of volume expansion of glycerine is 49 x 10-5/0C. What is the fractional change in its density (approx.) for 30°C rise in temperature?

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a
1.5 × 10-2
b
2.5 × 10-2
c
2.0 × 10-2
d
2.8 × 10-2

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detailed solution

Correct option is A

Coefficient of volume expansion of glycerine.γ= 49×10-5/ 0CRise in temperature, ∆T = 30°CAs γ = 1∆T(∆VV) ⇒ ∆VV = γ×∆Tor ∆VV = (49×10-5)×30 = 0.0147Since mass remains constant,Fractional change in density = fractional change in volume = 0.0147 = 1.5 x 10-2


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