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The value of coefficient of volume expansion of glycerin is 5×104 K1. The fractional change in the density of glycerin for a rise of 40 K in its temperature will be
  1. 0.02
  2. 0.025
  3. 0.01
  4. 0.015


Solution

The correct option is A 0.02
We know that the density of a material is given by, 
ρ=MV, where, M is mass and V is volume.
So, Δρρ=ΔVV  ........(1)
Also, volume expansion,
ΔV=γVΔT
ΔVV=γΔT
ΔVV=5×104×40
ΔVV=0.020
From (1),
Δρρ=0.02
Negative sign signifies that as temperature increases, volume increases and density decreases.  

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