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Need Help? -1 points ScalcETB 64.030 MI, when gas expands in a cylinder with rad

ID: 2856922 • Letter: N

Question

Need Help? -1 points ScalcETB 64.030 MI, when gas expands in a cylinder with radius r, the pressure Pat any given time is a function of the volume vs P Prvn. The force exerted by the gas an the piston (see the fgure) is the product of the pressure and the area: F nr2p. The work done by the gas when the volume expands from volume Vi to volume v2 is n a steam engine the pressure and volume of steam satisfy the equation Pv1A k, where 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 done by the engine k is a of anda volume of i00 and expands during a cyde when the steam starts at a pressure me of Boo in?. (Round your answer to two decimal places.) piston head Submit Answer Save Progressl Practice Another version points l Previous Answers scaleETa 6,4 504 XP. distanceof 190 ft. Find the work W done if a constant force of 120 lb is used to pull a carta 22800

Explanation / Answer

PV1/4=K

P1=140,V1=100 ,V2=800

P1V11/4=K

140*1001/4=K

K=442.72

PV1/4=K

P=K/V1/4

P=442.72/V1/4

Work W=[v1 to v2] P dV

Work W=[100 to 800] 442.72/V1/4 dV

Work W=[100 to 800] 442.72V-1/4 dV

Work W=[100 to 800] 442.72V1-(1/4) /(1-(1/4))

Work W=[100 to 800] 442.72(4/3)V(3/4)

Work W= 442.72(4/3)[8003/4 -1003/4 ]

Work W= 70127.46 ft lb

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