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(Solved): During the isothermal compression of a gas, pressure and volume follow the equation pV= constant Th ...



During the isothermal compression of a gas, pressure and volume follow the equation

pV= constant

The work

(W)

required to compress the gas is given by the integral:

W=\int_(V_(1))^(V_(2)) pdV

Where

p

is the pressure of the gas in (Pa) and

V_(1)

is the initial volume and

V_(2)

is the final volume. Determine the work required to isothermally compress air from a pressure of

98kPa

and a volume of

0.001m^(3)

to a pressure of

710kPa

.



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