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Question: Coefficient of real expansion of mercury is 0.18 × 10<sup>–3</sup>/°C. If the density of mercury at ...

Coefficient of real expansion of mercury is 0.18 × 10–3/°C. If the density of mercury at 0°C is 13.6 gm/cc. its density at 473K is

A

13.11 gm/cc

B

26.22 gm/cc

C

52.11 gm/cc

D

None of these

Answer

13.11 gm/cc

Explanation

Solution

ρ=ρ0(1γ.Δθ)=13.6[10.18×103(473273)]\rho = \rho_{0}(1 - \gamma.\Delta\theta) = 13.6\lbrack 1 - 0.18 \times 10^{- 3}(473 - 273)\rbrack

=13.6[10.036]=13.11gm/cc= 13.6\lbrack 1 - 0.036\rbrack = 13.11gm/cc.