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.
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
We know that the formula for volume expansion is:
Where Vθ is the volume at θ °C
V0 is the volume at 0 °C
γ is the coefficient of volume expansion
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
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