Calculate the final temperature that is reached (assuming no heat loss to the environment)?

Question

A piece of iron (specific heat = 0.449 J/g) with a mass of 72.4-g is heated to 100 C and plunged into 100-g of water that is initally at 10C. Calculate the final temperature that is reached (assuming no heat loss to the environment).

Answer 1

A piece of iron with a mass of 72.4 grams is heated to 100°C and plunged into 100 grams of water that is initially at 10.0°C. Calculate the final temperature that is reached assuming no heat loss to the surroundings. The heat capacities of iron and water are Cs(H2O) = 4.18 J/°C and Cs(Fe) = 0.449 J/g-°C.
First of all, we note that

the heat gained by the cooler body + the heat lost by the warmer body = 0
In other words

qH2O = - qFe

Answer 2

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