The density of water at 0°C is 0.998 g cm^–3 and at 4°C is 1.000g cm^–3. Calculate the average coefficient of volume expansion of water in the temperature range 0 to 4°C.

Given:

Density of water at 0 °C: ρ₀ = 0.998 g cm^-3

Density of water at 4 °C: ρ₄ = 1.000 g cm^-3

Temperature Range: θ = 4 °C

Formula used:

We know that the formula for volume expansion is:

Where V_θ is the volume at θ °C

V₀ is the volume at 0 °C

γ is the coefficient of volume expansion

Now, since

On substituting :

As density decreases γ = -5 x 10^-4 ° C^-1

Hence the average Calculate the average coefficient of volume expansion of water in the temperature range 0 to 4°C is