a copper vessel of mass 300 g contains 1 litre of water. Calculate the amount of heat needed to raise the temperature from 15 degree to 85 degree celcius
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2
Answer:
Explanation:
m
w
c
w
Δt+m
c
c
c
Δt=m
i
L+m
i
c
w
δt
where Δt= change in temperature of water and copper vessel
m
w
= mass of water = 150g
m
c
= mass of copper vessel = 100g
m
i
= mass of ice
c
c
= specific heat capacity of copper
c
w
= specific heat capacity of water
L = specific latent heat of fusion of ice
δt = change in temperature of ice
Therefore, [150×4.2×(50−5)]+[100×0.4×(50−5)]=(m×336)+[m×4.2×(5−0)]
(150×4.2×45)+(100×0.4×45)=(m×336)+(m×4.2×m)
28350+1800=336m+21m
357m=30150
m=
357
30150
=84.45g of ice
Hence, 84.45g of ice is needed to cool it to 5°C
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