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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Asked Sep 25, 2019
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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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Expert Answer

Step 1

a)

Refer “properties of saturated water –temperature table” for x=0 and T1=150 C.

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m'/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

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Step 2

Write in terms of rate of change in internal energy.

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AU 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

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Step 3

Substitute equation (1) and (2)...

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mpar (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

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