An electric heater rated 220v, 1000 w is immersed into a bucket full of water,…

An electric heater rated 220v, 1000 w is immersed into a bucket full of water, calculate the mass of water if the temperature changes from 30°c to 100°c and the current flows for 300seconds.
[specific heat capacity of water = 4200 jkg-1 K-1]
  • A.
    4.28 kg
  • B.
    42.86 kg
  • C.
    1.02 kg
  • D.
    7.14 kg
Correct Answer: Option C
Explanation

Energy supplied bythe heater = heater gained by water
pt = MCAθ
1000 x 300 = m x 4200(100 – 30)
m = (1000 x 300)/4200 x 70 = 1.02 kg

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