The density of mercury is 13-6 g cm-3 at 0oC and its coefficient of cubical expansion is 1-82- 10-4 oC-1- Calculate the density of mercury at 50oC-

Density of mercury, ρ_m=13.6g/cm^3 γ=1.82× 10^ 4 ^o C^ 1 At, 50^oC , the change in density will be ρ =ρ #160; _ o ( 1+γ T ) #160; Putting ...

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Standard XII

Physics

Area and Volume Expansion

The density o...

Question

The density of mercury is $13.6 g c m^{- 3}$ at $0^{o} C$ and its coefficient of cubical expansion is $1.82 \times 10^{- 4}^{o} C^{- 1}$ . Calculate the density of mercury at $50^{o} C$ ?

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Solution

Density of mercury, $ρ_{m} = 13.6 g / c m^{3}$
$γ = 1.82 \times 10^{- 4}^{o} C^{- 1}$
At, $50^{o} C$ , the change in density will be
$ρ = \frac{ρ_{o}}{(1 + γ △ T)}$
Putting values,
$ρ = \frac{ρ_{o}}{(1 + 1.82 \times 10^{- 4} \times 50)} ρ = 13.47 g / c m^{3}$

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Similar questions

Q. The density of mercury is

13.6 g c m^{- 3}

0^{\circ} C

and its coefficient of cubical expansion is

1.82 \times 10^{- 4}^{\circ} C^{- 1}

. Calculate the density of mercury at

50^{\circ} C

Q. Density of mercury is

13.6 g m c m^{- 3}

15^{o} C

. Coefficient of real expansion of mercury is

182 \times 10^{- 6} {()}^{- 1}

. Calculate its density at

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Q. Coefficient of volume expansion of mercury is

0.18 \times 10^{- 3 / 0} C .

If the density of mercury at

0^{\circ} C

13.6 g / c c,

then its density at

200^{\circ} C

Q. The coefficient of volume expansion of mercury is

5.4 \times 10^{- 4}^{o} C

. What is the fractional change in its density for a

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rise in temperature?

Coefficient of real expansion of mercury is $0.18 \times 10^{- 3}$ / $^{0}$ C. If the density of mercury at $0^{0} C$ is 13.6 gm/cc its density at 473 K will be :

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The density of mercury is 13.6gcm−3 at 0oC and its coefficient of cubical expansion is 1.82×10−4oC−1. Calculate the density of mercury at 50oC?

Density of mercury, ρm=13.6g/cm3γ=1.82×10−4oC−1At, 50oC, the change in density will beρ=ρo(1+γ△T)Putting values,ρ=ρo(1+1.82×10−4×50)ρ=13.47g/cm3

The density of mercury is $13.6 g c m^{- 3}$ at $0^{o} C$ and its coefficient of cubical expansion is $1.82 \times 10^{- 4}^{o} C^{- 1}$ . Calculate the density of mercury at $50^{o} C$ ?

Density of mercury, $ρ_{m} = 13.6 g / c m^{3}$
$γ = 1.82 \times 10^{- 4}^{o} C^{- 1}$
At, $50^{o} C$ , the change in density will be
$ρ = \frac{ρ_{o}}{(1 + γ △ T)}$
Putting values,
$ρ = \frac{ρ_{o}}{(1 + 1.82 \times 10^{- 4} \times 50)} ρ = 13.47 g / c m^{3}$