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Calculate the final temp of mixture, 10 kg hot water 90 °C with 20 kg water at 10°C.

specific heat capacity

specific heat capacity

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Calculate the final temp of mixture, 10 kg hot water 90 °C with 20 kg water at 10°C.


1 Answer


Given, 

the final temperature of mixture = T °C

for hot water, 

mass m1 = 10 kg 

temp t1 = 90°C

specific heat capacity of water = 4200 J/kg °C

Also for cold water 

mass m2 = 20 kg 

t2 = 10°C

specific heat capacity s = 4200 J/kg°C

By the formula , 

\(T\;=\;\frac{m_1s_1t_1+\;m_{2\;}s_{2\;}t_2}{m_1s_1+m_2s_2}\)

T = 36.66 °C

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