The coefficient of real expansion of mercury is 0.18 × 10-3 C-1 If the density of mercury at 0° C is 13.6 g/cc, its density at 473 K will be

Question

The coefficient of real expansion of mercury is 0.18 × 10-3 C-1 If the density of mercury at 0° C is 13.6 g/cc, its density at 473 K will be (A) 13.12 g/cc (B) 13.65 g/cc (C) 13.51 g/cc (D) 13.22 g/cc

Tardigrade Admin · Accepted Answer

Here, t1=0°C =273 K, t2 =473 K &gamma;r =0.18 × 10-3 C-1 d1 =13.6 g/cc d=(d1/1+&gamma;r (Δ t)) =(13.6/1+0.18 × 10-3 × (473 -273)) d2 =(13.6/1.036) 13.127 g/cc

Q. The coefficient of real expansion of mercury is $0.18 \times 1 0^{- 3} C^{- 1}$ If the density of mercury at $0^{\circ} C$ is $13.6 g / cc$ , its density at $473 K$ will be

13.12 g/cc

13.65 g/cc

13.51 g/cc

13.22 g/cc

$Here, t_{1} = 0^{\circ} C = 273 K, t_{2} = 473 K$
$γ_{r} = 0.18 \times 1 0^{- 3} C^{- 1}$
$d_{1} = 13.6 g / cc$
$d = \frac{d _{1}}{1 + γ _{r} ( Δ t )}$
$= \frac{13.6}{1 + 0.18 \times 1 0 ^{- 3} \times ( 473 - 273 )}$
$d_{2} = \frac{13.6}{1.036}$
$13.127 g / cc$

Q. The coefficient of real expansion of mercury is 0.18×10−3C−1 If the density of mercury at 0∘C is 13.6g/cc, its density at 473K will be