Week 3 Q2Exercise sheetCurrent spec2:120 min

ENGR5003 Week 3 workshop sheet Q2

5 kg of saturated steam at 150 ∘C150\ ^\circ\mathrm{C} is compressed until the pressure doubles.

Formulas you may need
  • Wet steam: v=(1−x)vf+xvgv = (1 - x)v_f + xv_g, h=(1−x)hf+xhgh = (1 - x)h_f + xh_g (on the formula sheet)
  • Dryness fraction: x=h−hfhg−hfx = \dfrac{h - h_f}{h_g - h_f} (on the formula sheet)
  • Constant-pressure heat for a closed system: Q=mΔhQ = m\Delta h (learn this: Q=ΔU+pΔV=ΔHQ = \Delta U + p\Delta V = \Delta H)
  1. (a)
    What is the initial volume of steam?
  2. (b)
    What is the dryness fraction after compression, given that this was an isenthalpic compression?
  3. (c)
    What is the compression ratio (V1V2)\left(\dfrac{V_1}{V_2}\right)?
  4. (d)
    The steam cools back to 150 ∘C150\ ^\circ\mathrm{C}, how much heat is dissipated?
    First