100 cubic meters of carbon dioxide initially at 150 C and 50bar is to be isothermally compressed in a frictionless piston and cylinder device to a final pressure of 300 bar. Calculate:

i. The volume of the compressed gas
ii. The work done to compress the gas
iii. The heat flow on compression assuming carbon dioxide:

a/ Is an ideal gas
b/ Obeys the principle of corresponding states
c/ Obeys the Peng-RObinson equation of state

An electrical motor raises a 50kg load at a construct velencity .calculate the power of the motor, if it takes 40sec to raise the load through a height of 24m(take g =9.8n/g)

Apump is used to circulate hot water in a home heating system. water enters the well-insulated pump operating at steady state at a rate of 0.42 gal/min. the inlet pressure and temperature are 14.7 lbf/in.2, and 180°f, respectively; at the exit the pressure is 60 lbf/in.2 the pump requires 1/15 hp of power input. water can be modeled as an incompressible substance with constant density of 60.58 lb/ft3 and constant specific heat of 1 btu/lb or. neglecting kinetic and potential energy effects, determine the temperature change, in °r, as the water flows through the pump.

Afluid flows with a velocity field given by v=(x/t)i.. determine the local and convective accelerations when x=3 and t=1.