A75-hp (shaft output) motor that has an efficiency of 91% is worn out and is replaced by a high efficiency 75-hp motor that has an efficiency of 95.4%. determine the reduction in the heat gain of the room due to higher efficiency under full-load conditions.

The heat gain of the room due to higher efficiency is 2.84 kW.

Explanation:

Given that,

Output power of shaft = 75 hp

Efficiency = 91%

High efficiency = 95.4%

We need to calculate the electric input given to motor

Using formula of efficiency

We need to calculate the electric input

For, heigh efficiency

The reduction of the heat gain of the room due to higher efficiency is

Put the value into the formula

Hence, The heat gain of the room due to higher efficiency is 2.84 kW.

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