Question

the density of liquid at hundred degree celsius is 8.0 gram centimetre cube and 80 degree celsius is 8.4 gram per centimetre cube the coefficient of cubical expansion of the liquid is​

Answer 1

Explanation:

Use the formula of volumetric thermal expansion ,

V = V₀(1 + 3α × ∆T) [ because , Y = 3α

we know, density = mass/Volume ,

because mass can't be change if temperature change .

so, formula of thermal expansion for density,

d = d₀((1 + 3α × ∆T)

9.7 = 10/[1 + 3α × ( 100 - 0)]

9.7 = 10/[1 + 300α]

9.7 + 2910α = 10

2910α = 0.3 => α = 0.00010309

α = 1.0309 × 10^-4 /°C

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