A water heater of power 2000 W is used to heat water. The specific heat capacity of water is 4200 J . The efficiency of heater is 70%. Time required to heat 2 kg of water from 10°C to 60°C is __________ s. [2023]

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Solution

Q.
A water heater of power 2000 W is used to heat water. The specific heat capacity of water is 4200 J ${kg}^{- 1}$ $K^{- 1}$ . The efficiency of heater is 70%. Time required to heat 2 kg of water from 10°C to 60°C is __________ s.

(Assume that the specific heat capacity of water remains constant over the temperature range of the water.) [2023]

Ans.
(300)

$η \times P \times Δ t = M \times s \times Δ T$

$\Rightarrow Δ t = \frac{2 \times 4200 \times (60 - 10)}{0.7 \times 2000} s = 300 s$

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