Transformer 20073

The transformer is oil-cooled and transforms a power of 20MW with an efficiency of 92%. Determine the temperature of the oil at the outlet of the transformer if the oil was 20°C when it entered the transformer. 2.5 liters of oil will flow through the transformer in 1 second. The density of the oil is 960kg/m3, and the specific heat capacity of the oil is 2.09KJ×kg-1×K-1.

Correct answer:

t =  338.9793 °C

Step-by-step explanation:

q=10.92=0.08  P=20 106 q=20 106 252=1600000 W  t0=20 °C  c=2.09 1000=2090 J/kg/°C  ρ=960 kg/m3  V=2.5 l m3=2.5:1000  m3=0.0025 m3 m=ρ V=960 4001=400960 1=400960=512=2.4 kg  E = P T T=1 s E=P T=1600000 1=1600000 J  E = m c (tt0)  t=t0+m cE=20+512 20901600000=338.9793°C



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