a hot metal bolt of mass 0.05 kg and specific heat capacity 889 joules per kg degree celsius is dropped into a calorimeter containing 0.15 kg water at 21 degrees celsius. the bolt and water resch a final temperature of 25 degrees celsius. what is the initial temperature of the bolt? the specific heat capacity of water is 4186 joules per kilogram degrees celsius.

Answer;

80.87 °C

Explanation;

Change in Temp of metal = (C of water * mass of water * Change in temp of water) / (C of metal*mass of metal)

That is;

Change of temp. of metal

= [ (4186 J/kg*°C) * (0.15kg) * (25°C-21°C) / [ (899 j/kg*C) * (0.050kg)

= 55.87 °C

The change in temp of the metal is - 55.87 °C as the metal cools down

Therefore;

Change in temperature = Final Temperature-Initial Temperature Initial Temperature = Final Temp.-Change in Temp

=25 °C - (-55.87 °C)

= 80.87 °C