# A piston-cylinder assembly contains water, initially saturated liquid at 150^0C.  The water is heated at constant temperature to saturated vapor.If the rate of heat transfer to the water is 2.28 kW, determine the rate at which work is done by the water on the piston, in kW.If in addition to the heat transfer rate given in part (a) the total mass of water is .1 kg, determine the time, in s, required to execute the process.My approach is to use Q-W = U + KE + PE ?

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A piston-cylinder assembly contains water, initially saturated liquid at 150^0C.  The water is heated at constant temperature to saturated vapor.

If the rate of heat transfer to the water is 2.28 kW, determine the rate at which work is done by the water on the piston, in kW.

If in addition to the heat transfer rate given in part (a) the total mass of water is .1 kg, determine the time, in s, required to execute the process.

My approach is to use Q-W = U + KE + PE ?

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Step 1

a)

Refer “properties of saturated water –temperature table” for x=0 and T1=150 C. help_outlineImage Transcriptionclosem'/kg 1.0905 x 10 X u 631.68 kJ/kg Refer "properties of saturated water -temperature table" for x-1 and T150 C. = v. = 0.3928 m'/kg 2 u2 = u, = 2559.5 kJ/kg Write the expression for the change in internal energy AU U-U -т(и, — и,) =111 fullscreen
Step 2

Write in terms of rate of change in internal energy. help_outlineImage TranscriptioncloseAU m(u (1) Write the expression for the rate of work done by the water on the piston (2) sat Write the energy balance equation fullscreen
Step 3

Substitute equation (1) and (2)... help_outlineImage Transcriptionclosempar (v)m(u2- 14,) =Q sat _ sat |(4.758 bar 0.3928 -1.0905x J0-3 )|10'N/m2| m 1 bar - 2.28 x 103J/ s +(2559.5-631.68)(10'j) m 1.078 x 10 kg/s fullscreen

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### Thermodynamics 