13. [010.23 Points] I DETAILS I I PREVIOUS ANSWERS I SCALCETB 6.4.030.M|. 1/100 Submissions Used MY NOTES ASK YOUR TEACHER When gas expands in a cylinder with radius r, the pressure P at any given time is a function of the volume V: P = PW). The force exerted by the gas on the piston (see the figure) is the product of the pressure and the area: F = :rrzP. pmton head (D The work done by the gas when the volume expands from volume V1 to volume V: is as follows. V2 W = P dV L"1 In a steam engine the pressure and volume of steam satisfy the equation PV1'4 = k, where k is a constant. (This is true for adiabatic expansion, that is, expansion in which there is no heat transfer between the cylinder and its surroundings.) Calculate the work clone by the engine during a cycle when the steam starts at a pressure of 120 lbjin2 and a volume of 100 in3 and expands to a volume of 400 in3. (Round your answer to two decimal places.) w=-x Need Help