Q. 17

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.

Answer :

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 Vθ 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


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