Question

To the heated water 0.5 kg of water at t3 = 20° c is added. what is the final temperature of the water, in kelvin?

Answer 1

The final temperature of the water after addition to the heated water at 20° C in degree kelvins' is calculated as; 295.23 K

What is the Final Temperature?

We are given;

mass of the initial water; m₁ = 2.5 kg

specific heat capacity of water; c = 4189 J/kg.K

initial temperature of water; T₁ = 13.5 ⁰C

final temperature of the water; T₂ = 22.5 ⁰C

mass of the final water; m₂ = 0.5 kg

initial temperature of the final water; T₁,i = 20 ⁰C

If the system is isolated, then we have;

m₁*c*(T_f - T₂) + m₂*c*(T_f - T₁,i) = 0

c will cancel out to give;

[2.5T_f - (2.5*22.5)] + [0.5T_f - (0.5*20)] = 0

2.5T_f - 56.25 + 0.5T_f - 10 = 0

3T_f = 66.25

T_f = 66.25/3

T_f = 22.08°C = 295.23 K

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