A steam turbine operates adiabatically at a power level of

Berikut ini adalah pertanyaan dari ainunputri278 pada mata pelajaran Kimia untuk jenjang Sekolah Menengah Atas

A steam turbine operates adiabatically at a power level of 3500 kW. Steam enters the turbine at 2400 kPa and 500°C and exhausts from the turbine as saturated vapor at 20 kPa. What is the steam rate through the turbine, and what is the turbine efficiency?​

Jawaban dan Penjelasan

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Jawaban:

Penjelasan:

To answer this question, we need to determine the steam rate through the turbine and the efficiency of the turbine.

The steam rate through the turbine can be calculated using the first law of thermodynamics, which states that the change in internal energy of a closed system is equal to the heat added to the system minus the work done by the system. In this case, the internal energy of the steam entering the turbine is equal to the internal energy of the steam exiting the turbine plus the work done by the turbine.

We can express this relationship mathematically as:

m(h1 - h2) = Q - W

where m is the mass flow rate of the steam, h1 is the specific enthalpy of the steam entering the turbine, h2 is the specific enthalpy of the steam exiting the turbine, Q is the heat added to the system, and W is the work done by the system.

To calculate the steam rate, we need to know the specific enthalpies of the steam entering and exiting the turbine. We can look up these values in a steam table or use an enthalpy-entropy (h-s) chart.

Using the steam table, we can find that the specific enthalpy of the steam entering the turbine is 3276 kJ/kg and the specific enthalpy of the steam exiting the turbine is 2669 kJ/kg.

Substituting these values into the equation above and solving for the mass flow rate, we get:

m = (3500 kW) / (3276 kJ/kg - 2669 kJ/kg)

= 8.82 kg/s

The efficiency of the turbine can be calculated using the following formula:

η = (W / Q) x 100%

Substituting the values for W and Q, we get:

η = (3500 kW / (8.82 kg/s)(3276 kJ/kg - 2669 kJ/kg)) x 100%

= 87.5%

So, the steam rate through the turbine is 8.82 kg/s, and the efficiency of the turbine is 87.5%.

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Last Update: Sat, 18 Mar 23