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Steam enters an adiabatic turbine operating at steady state with an enthalpy of $3251.0 \: kJ/kg$ and leaves as a saturated mixture at $15 \:kPa$ with quality (dryness fraction) $0.9$. The enthalpies of the saturated liquid and vapor at $15 \: kPa$ are $h_f = 225.94 \: kJ/kg$ and $h_g=2598.3 \: kJ/kg$ respectively. The mass flow rate of steam is $10 \: kg/s$. Kinetic and potential energy changes are negligible. The power output of the turbine in MW is

  1. $6.5$
  2. $8.9$
  3. $9.1$
  4. $27.0$
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