What mass of water can be heated from 20 degrees Celsius to 80 C due to the energy consumed

| October 16, 2021 | education

What mass of water can be heated from 20 degrees Celsius to 80 C due to the energy consumed in 10 minutes by kettles connected to a 220 V network. With a current of 2 A, the KPT of the kettle is 80%? Specific heat capacity of water 4200J / kg s

t1 = 20 ° C.

t2 = 80 ° C.

C = 4200 J / kg * ° C.

T = 10 min = 600 s.

U = 220 V.

I = 2 A.

Efficiency = 80%

m -?

Efficiency = 80% of an electric kettle shows that 80% of the heat energy that is released in the spiral of the kettle Qh goes to heating the water Qw: Efficiency = Qw * 100% / Qh.

The heat released in the teapot Qh can be expressed by the formula: Qh = I * U * T.

The heat required for heating water Qw is expressed by the formula: Qw = C * m * (t2 – t1).

Efficiency = C * m * (t2 – t1) * 100% / I * U * T.

The mass of heated water in the teapot m will be determined by the formula: m = efficiency * I * U * T / C * (t2 – t1) * 100%.

m = 80% * 2 A * 220 V * 600 s / 4200 J / kg * ° C * (80 ° C – 20 ° C) * 100% = 0.84 kg.

Answer: the kettle for the specified time can heat m = 0.84 kg of water.



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