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Question
How much heat will be required to raise the temperature of 5kg of water from 20˚Cto100˚C?
Numerical
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Solution
Given:
Mass of water (m) = 5 kg
Initial temperature (T₁) = 20°C
Final temperature (T₂) = 100°C
Specific heat capacity of water (c) = 1 kcal/kg°C
To Find:
Heat required (Q)
Formula:
The formula to calculate the heat energy required is:
Q = m · c · ΔT
(where ΔT is the change in temperature: T2 − T1)
Calculation:
1. Find the change in temperature (ΔT):
ΔT = 100°C − 20°C
= 80°C
2. Substitute the values into the formula:
Q = 5 · 1 · 80
Q = 400
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