Apiece of gold with a mass of 15.23g and an initial temp of 53 celsius was dropped into a calorimeter containing 28g of water, the final temp of the metal and water in the calorimeter was 62 what is the initial temp

Answer : The initial temperature of water (in ) =  

Solution : Given,

Mass of gold = 15.23 g

Mass of water = 28 g

Initial temperature of gold =  

Final temperature of gold =

Final temperature of water =

Heat capacity of gold =

Heat capacity of water =

The formula used for calorimetry is,

q = m × c × ΔT

where,

q = heat required

m = mass of an element

c = heat capacity

ΔT = change in temperature

In the calorimetry, the energy as heat lost by the system is equal to the gained by the surroundings.

Now the above formula converted and we get

Now put all the given values in this formula, we get

By rearranging the terms, we get

Thus the initial temperature of water =