4) A solid of mass 80g and at 75oC is dropped into 150g of water at 15oC which is contained in a copper calorimeter of mass 50g. The final temperature attained by the mixture is 25oC. If the specific heat capacity of copper and water are 400 J kg-1K-1 and 4200 J kg-1K-1 respectively. Calculate the specific heat capacity of the solid in SI unit.
Answers
Answer:
Heat energy given by metal piece =m⋅c⋅ΔT
1
=20×0.3×(100−22)
=468J
Heat energy gained by water =m
w
×c
w
×ΔT
2
=m
w
×4.2×(22−20)
=m
w
×8.4J
Heat energy gained by calorimeter =m
c
×c
c
×ΔT
2
=50×0.42×(22−20)
=42J
By principle of calorimeter:
Heat lost = Heat gained
Heat energy given by metal = Heat energy gained by water + Heat energy gained by calorimeter
468=m
w
×8.4+42
m
w
=
8.4
468−42
=50.7g
Therefore, the mass f water used in the calorimeter is 50.7g.
Explanation:
hope it helps .
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