ENGR217 2018 Q A1Past paperOld spec ENGR2172:225 marks30 min

ENGR217 Summer 2018 Q A1[VALID] official answers

Answer ALL parts (a) and (b)

Property tables including the steam tables are provided in the Appendix

Formulas you may need
  • Wet steam: x=mg/mtotalx = m_g/m_{total}; u,h,s,v=(1−x)f+x gu, h, s, v = (1-x)f + x\,g, i.e. s=sf+xsfgs = s_f + x s_{fg} (on the formula sheet)
  • First law, closed system: dU=dQ−dWdU = dQ - dW (heat in +ve, work out +ve) (on the formula sheet)
  • SFEE: Q˙−W˙=m˙[(h+C22+gZ)out−(h+C22+gZ)in]\dot Q - \dot W = \dot m\left[\left(h + \tfrac{C^2}{2} + gZ\right)_{out} - \left(h + \tfrac{C^2}{2} + gZ\right)_{in}\right] (on the formula sheet)
  • Isentropic process: s2=s1s_2 = s_1 (learn this)
  • Steam property values at 20 bar and 1 bar (learn this: read from the steam tables provided)
  1. (a)
    Draw a property diagram for the phase-change process of water at a constant pressure of 1 atm. Show change in the specific volume with temperature. (4 marks) Give a phase description, and label the processes or states such as ice, melting, subcooled water, saturated water, evaporation, saturated steam and superheated steam. (3 marks) How will increase in pressure to 1 MPa affect the boiling temperature of water, the specific volume of the saturated water and the specific volume of the saturated steam? (2 marks)
    [9]Third
  2. (b)
    Dry saturated steam at a pressure of 20 bar is expanded isentropically to a final pressure of 1 bar. Determine the dryness fraction at 1 bar.
    [10]
  3. (b(i))
    Find the specific work done by the steam if the expansion is (i) in a cylinder (consider as closed system),
    [3]
  4. (b(ii))
    (ii) through a turbine (consider as open system).
    [3]