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An immersion heater rated 2.0A, 240V is used to boil water f...

An immersion heater rated 2.0A, 240V is used to boil water from temperature 52°c to 100°c. If the mass of the water is 2.5kg. determine the time taken to boil the water.


[specific heat capacity of water = 4.2 x 103 jkg-1 k-1]

A.

1.05 x 103s

B.

1.05 x 105s

C.

1.05 x 102s

D.

1.05 x 104s

Correct answer is A

Power of heater = lvt = 2 x 240 x t
heat required to boil the water = Mct = 2.5 x 4.2 x 103 x (100.52) = 2.5 x 4. 2 x 103 x 48
2 x 240 x t = 2.5 x 4.2 x 103 x 48
∴ t = (2.5 x 4.2 x 103 x 48)/2 x 240
= 1050s or 1.05 x 103s