The density of mercury is 13.6 g cm^-3 at 0°C and its coefficient of cubical expansion is 1.82 x 10^-2 °C1.
Calculate the density of mercury at 50°C.
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Explanation:
Given
mass of the mercury = 13.6gm
coefficient of cubical expansion α = 1.82×10−4∘C−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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