The coefficient of volume expansion of glycerine is 49 × 10 - 5 K - 1 . The fractional change in its density for a 30 ° C rise in temperature will be

Step-by-step solution

Let V 0 be the initial volume of glycerine, i.e, at 0   ° C (dry). If V t be its volume at 30   ° C Then V t = V 0 1 + v ∆ t =     V 0 1 + 49 × 10 - 5 × 30   V t = V 0 1 + 0.01470 = 1.0147070   V 0 ⇒           V 0 V t = 1 1.01470 Let ρ o and ρ t be the initial and final densities of glycertine then initial density, ρ 0 = m v 0 and final density, ρ t = m V t Where, m = mass of glycertine ∆ ρ ρ 0