Question

A piece of copper has a temperature of 73.6 ºC. When the metal is placed in 96.2 grams of water at 17.1 ºC, the temperature rises by 5.1 ºC. What is the mass of the metal?

Answer 1

Answer:

Mass of the metal, m = 0.20 kg = 200 g

Initial temperature of the metal, T1 = 150 oC

Final temperature of the metal, T2 = 40 oC

Calorimeter has water equivalent of mass, m = 0.025 kg = 25 g

Volume of water, V = 150 cm3

Mass (M) of water at temperature T = 27oC:

150×1=150g

Fall in the temperature of the metal:

ΔTm=T1-T2 =150−40=110oC

Specific heat of water, Cw=4.186J/g/K

Specific heat of the metal =C

Heat lost by the metal, =mCT .... (i)

Rise in the temperature of the water and calorimeter system: T1−T=40−27=13oC

Heat gained by the water and calorimeter system: =m1CwT=(M+m)CwT ....(ii)

Heat lost by the metal = Heat gained by the water and colorimeter system

mCΔTm=(M+m)CwTw

200×C×110=(150+25)×4.186×13

C=(175×4.186×13)/(110×200)=