The boiling point of water at a pressure of 50 atm is 538 K.Compare the theoretical efficiencies of a stem engine operating between the boiling point of water at 50 atm pressure , assuming the temperature of the sink to be 35^(@)C in each case.

The boiling point of water at a pressure of 50 atm is 538 K.Compare th

1.	The boiling point of water at a pressure of 50 atm is 538 K.Compare the theoretical efficiencies of a stem engine operating between the boiling point of water at 50 atm pressure , assuming the temperature of the sink to be 35^(@)C in each case.
Answer» Solution :Boiling point of water at 50 atmpressure `(T_b)=265^@C` =265+273=538 K (i)Boiling point of water at 1 atm PRESSURE `(T_b)=100^@C` =100+273=373 K % Efficiency of STEAM engine `=[(T_1-T_2)/T_1]xx100` `=[(538-373)/538]xx100` =0.3066 x 100 = 30.66% (ii) Boiling point of water at 50 atm pressure `(T_b)=35^@C` =35+273 =328 K % Efficiency of steam engine =`[(T_1-T_2)/T_1]xx100` `=[(538-328)/538]xx100=(210xx100)/538` =39.03 %