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Question

The resistance of an electric geyser is 14 ohm. Current flowing is 4A. How much water can it heat to raise its temperature by 10oC in 10 min?

Use specific heat capacity of water =4.186×103Jkg1Co1

A
.5kg
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B
1.6kg
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C
3.2kg
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D
2.4kg
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Solution

The correct option is D 3.2kg
By Joule's Law, Heat produced Q1=I2Rt ...............(1)
Heat transferred to water Q2=MsΔT .......................(2)
Where,
I: Current, R: Resistance, t: Time,
M: Mass of water, s: specific heat capacity of water,
ΔT: Change in temperature

Assuming no loss, Q1=Q2
I2Rt=MsΔT
M=I2RtsΔT
M=42×14×10×604.186×103×10
M=3.2kg

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