Question

If the plant produces electric energy at the rate of 1. 5 gw , how much exhaust heat is discharged per hour?

Answer 1

The amount of exhaust heat discharged per hour from the plant which produces electric energy at the rate of 1. 5 gw, is 9.36×10¹⁹ J/h.

How to calculate the heat discharged per hour?

The heat is discharged per hour is equal to the different of total power and actual power.

The plant produces electric energy at the rate of 1. 5 gw. Let assume the efficiency of this power plant is 64% between the temperature of 660 degree C to 330 degree Celsius.

Thus, the maximum efficiency is,

$\eta_{max}=1-\dfrac{660+273}{330+273}\\\eta_{max}=0.55$

The total power is,

$P_t=\dfrac{P_A}{\eta_{max}\times0.64}\\P_t=\dfrac{1.5}{0.55\times0.64}\\P_t=4.26\rm\; GW$

Thus, the heat discharged per hour is,

$Q=4.26-1.5\\Q=2.76\text{GW}$

Multiply the value with 3600 to convert it in s/h,

$Q=2.76\times10^9\times3600\text{ J/h}\\Q=9.36\times10^{19}\text{ J/h}$

Thus, the amount of exhaust heat discharged per hour from the plant which produces electric energy at the rate of 1. 5 gw, is 9.36×10¹⁹ J/h.

Learn more about the heat discharged per hour here;

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