The final temperature of the water is equal to 24.77 °C.
The specific heat capacity can be explained as the amount of heat needed to increase the temperature of one unit of material by one degree Celsius. The specific heat capacity depends upon the nature of the material.
The mathematical equation is used to calculate the specific heat is equal to:
Q = mCΔT
Given, the mass of the water, m = 1 Kg
The initial temperature of the water, T₁ = 20°C
The specific heat capacity of water, C = 4186 J/(kg °C)
The heat added to the cup, Q = 20,000 J
The final temperature of the water can be determined as:
20000 = 4186 × 1 × (T₂ - 20)
T₂ - 20 = 4.77
T₂ = 24.77 °C
Therefore, the final temperature of the water is 24.77 °C.
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