The density of mercury is 13.6 g cm?3 at 0?C and its coefficient of cubical expansion is 1.82�10?4 ?C?1. Calculate the density of mercury at 50?C

Answer:

Given

mass of the mercury = 13.6gm

coefficient of cubical expansion α = 1.82×10−4C−1

consider

Volume = 1cm3

When mercury is heated to 500C then change in the mass

ΔV = V α ΔT

ΔV = 1 × 1.82×10−4 × 50

ΔV = 9.1×10−3 cm3

New volume can be calculated as

V1 = V + ΔV

V1 = 1 + 9.1×10−3

V1 = 1.0091 cm3

New volume can be calculated as

ρ = m/V1

ρ = 13.6/1.0091

ρ = 13.48 gcm-3

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