Answer : The initial temperature of the limestone is .
Solution : Given,
Mass of limestone = 62.6 g
Mass of water = 75 g
Final temperature of limestone =
Final temperature of water =
Initial temperature of water =
The specific heat capacity of limestone =
The specific heat capacity of water =
The formula used :
q = m × c × ΔT
where,
q = heat required
m = mass of an element
c = heat capacity
ΔT = change in temperature
According to this, 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 the value of initial temperature of limestone.
Therefore, the initial temperature of the limestone is .