A calorimeter is to be calibrated: 72.55 g of water at 71.6°C added to a calorimeter containing 58.85 g of water at 22.4°C. After stirring and waiting for the system to equilibrate, the final temperature reached 47.3°C. Calculate the heat capacity of the calorimeter with appropriate units and significant figures. (The specific heat capacity of water is 4.184 J g⁻¹ °C⁻¹)
a. Energy lost by the hot water: q = m C_p Delta T
b. Energy gained by the cold water: q = m C_p Delta T
c. Heat capacity of the calorimeter