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Problem to find Work done if an Expression is given
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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 work done by the system during a constant-temperature expansion from volume V1 to volume V2.
Calculate the work done by a system which contains 10 kg of this gas expanding from 1 m3 to 10 m3 at a temperature of 293 K. Use the values
a = 15.7 ×10 Nm4 , b = 1.07 ×10−2m3 , and R = 0.278 kJ/kg-K.
(p + a/V2)(V- b) = mRT
Where a, b, and R are constants.
Obtain an expression for the displacement work done by the system during a constant-temperature expansion from volume V1 to volume V2.
Calculate the work done by a system which contains 10 kg of this gas expanding from 1 m3 to 10 m3 at a temperature of 293 K. Use the values
a = 15.7 ×10 Nm4 , b = 1.07 ×10−2m3 , and R = 0.278 kJ/kg-K.