explain with the help of formula the expanstion co-efficient of liquid and gas
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The coefficient of volume expansion of a gas at constant pressure is defined as the fraction of its volume at 0°C by which the volume of a fixed mass of gas expands per degree Celsius rise in temperature.
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The coefficient of volume expansion (Υ) is defined as,
gamma equals= 1/V.dV/dT
ideal gas equation=pV=nRT
or
p=nRT/v
Substitute P in PT^2=constant to get
V=KT^3
for some constant kk. Differentiate second equation with respect to TT and substitute in first equation to get
Y=3/T
Which is volume expansion for gases.
Similarly After introducing the density of liquids we get Y = 2α for liquids.
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