The mass of water is 231.71kg
The specific heat capacity of a substance is the quantity of heat required to increase the temperature of a unit mass of substance by 1°C or 1k. It is measured in J/kg/K. It is denoted by c.
The quantity of heat required is expressed as H= mc∆k. where m is the mass and k is temperature.
From the law of calorimetry, heat lost = heat gained. The specific heat capacity of water and copper are 400J/kg/k and 4200J/kg/k
heat lost by copper = 110×400× ( 82.48-24.98)
= 44000× 57.5 = 2530000J
heat gained by water = m× 4200 × (24.98-22.38)
= 4200× 2.6×M = 10920m
therefore 2530000= 10920m
where m is the mass of water
m= 2530000/10920
m= 231.71kg
therefore the mass of the water is 231.71kg
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