A system of volume V contains a mass m of gas at pressure p and temperature T. The macroscopic properties of the system obey the following relationship:- (P +a/V²)(V-b)=mRT. where a,b and R are constants. Obtain an expression for the displacement workdone by the system during a constant-temperature expansion from volume V1 to volume V2. Calculate the work done by a system which contains 10kg of this gas expanding from 1m³ to 10m³ at a temperature of 293K. Use the values a=15.7*10Nm⁴, b=1.07*10(to the power -2)m³. and R= 0.278kJ/Kg-K.
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