ICSE Class 10 Physics 2018 Solved Paper
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Question : 68
Total: 78
The temperature of 170 g of water at 50 ∘ C is lowered to 5 ∘ C by adding certain amount of ice to it. Find the mass of ice added.
Given : Specific heat capacity of water= 4200
J kg − 1 ∘ C − 1 and Specific latent heat of ice = 336000 J kg − 1 .
Given : Specific heat capacity of water
Solution:
Given : mass of the water = 170 g =
kg ,
Initial temperature= 50 ∘ C .
Let the mass of ice added be= ' x ' kg
Given that the final temperature of mixture= 5 ∘ C
Heat lost by water= m × c × ∆ T
=
× 4200 × ( 50 − 5 )
= 32130 J
Now the change in ice will be as
Ice at0 ∘ C → Water at 0 ∘ C → Water at 5 ∘ C
∴ Heat gained by ice
= m ′ L + m ′ c ∆ T ′
= x × 336000 + x × 4200 × ( 5 − 0 )
= 336000 x + 21000 x
= 357000 x J
By the principle of calorimetry,
Heat lost by water= Heat gained by ice
∴ 32130 = 357000 x
orx =
= 0.09 kg or 90 g
Initial temperature
Let the mass of ice added be
Given that the final temperature of mixture
Heat lost by water
Now the change in ice will be as
Ice at
By the principle of calorimetry,
Heat lost by water
or
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