1kg of a fluid is contained in a cylinder at an initial pressure of 20bar. The fluid is allowed to expand reversibly behind a piston according to the c = pv² until the volume is doubled. The
fuid is then cooled reversibly at constant pressure until the volume is doubled. The fluid is
then cooled reversibly at a constant pressure until the piston regains its original position heat
is then supplied reversibly with the piston firmly locked in position until the pressure rises to
the original value of 20bar. Calculate the networkdone by the fluid, for an initial volume of
0.05m³.​

Aleaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.7 kg/m. initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 15-m level. find the work done. (use 9.8 m/s2 for g.) show how to approximate the required work by a riemann sum. (let x be the height in meters above the ground. enter xi* as xi.) lim n → ∞ n (9.8)(45−3 xi) i = 1 δx express the work as an integral. 0 dx evaluate the integral. (round your answer to the nearest integer.) j