Answer to Question #249447 in Mechanical Engineering for russman

Question

A mass of gas has an initial pressure and temperature of 0.11 MN/m² and 15⁰C. respectively. It is compressed according to the law PV^1.3 = constant until temperature becomes 90⁰C temperature becomes 90 oc. Determine the final pressure of the gas.

Answer 1

The fluid pressure is p$N/m^2$ . The force needed on the piston is F= pA

The piston moves a distance x metres. The work done is W = Fx = pAx

Since Ax =V and is the volume pumped into the cylinder the work done is W = pV

Since energy has been used doing this work, it must now be stored in the fluid and carried along with it as FLOW ENERGY.

F.E. = pV

so the final pressure of the gas will be$0.11\times15\times90=148.5$