the density of water at 0 degree celsius is 0.998g/cm^3 and at 4 degree Celsius is 1.000 g/cm^3.calculate average coefficient of volume expansion of water in the temperature range 0 to 4 degree Celsius?

Dear student,

density = mass / volume

mass is same in both times. so

v = m/d

v2 = v1[1+γ(4-0)]

m/d2 = m/d1(1+4γ)

d1/d2 = (1+4γ)

1.000/0.998 = 1 + 4γ

1.002 = 1 + 4γ
4y = .002
γ = 5 * 10^-4 °C^-1

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