Question

A power station with an efficiency of 0.4 generates 108 W of electric power and dissipates 1.3×108 J of heat energy each second to the cooling water that flows through it, which increases its temperature by 3.0 Celsius degrees.
find what mass of warmed water flows through the plant each
Express your answer to two significant figures and include the appropriate units.

Answer 1

Answer:

$\frac{dm}{dt} = 10352 kg/s$

Explanation:

As we know that thermal energy given to the water to raise its temperature is given as

$Q = ms\Delta T$

now rate of energy given to the system is

$\frac{dQ}{dt} = \frac{dm}{dt} s \Delta T$

so we have

$\frac{dQ}{dt} = 1.3 \times 10^8$

s = 4186 J/kg C

now we have

$1.3 \times 10^8 = \frac{dm}{dt} (4186) 3$

$\frac{dm}{dt} = 10352 kg/s$