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Heat energy imparted by calorimeter and water contained in it in cooling from 32°C to 5°C is used in melting ice and then raising the temperature of melted ice from 0°C to 5°C.
For cold body: Ice at 0°C
to water at 5°C. Heat gained = mL + mcAT
= m x 330 + m x 4.2 x (5-0)
= 330 m+m x 4.2 x 5
= 330m+21m = 351m joule.
For hot body:
(Water + Calorimeter) at 32°C to 5°C.
Heat lost = m₁c₁₁+ ₂₂ ₂
= 150 x 4-2 x (32-5)+ 50 x 0.4 x (32-5)
= 150 x 4.2 x 27 + 50 x 0-4 x 27
= 17010 + 540=17,550 joule.
From the principle of calorimetiy, if the system is fully insulated then, Heat gained by cold body = Heat lost by hot body.
Answer:
Given :-
Specific heat capacity of calorimeter = 0.4J/g°C
Specific heat capacity of water = 4.2J/g°C
Latent capacity of ice = 330J/g
Mass of Mw=150g
Specific heat capacity of water Sw= 4.2J/g°C
Initial temperature Ti= 32°C
Final temperature Tf = 5°C
Mass of calorimeter Mc= 50g
Specific heat capacity of calorimeter Sc=0.4J/g°C
Heat released Q= (Mw Sw + Ms Ss)
Q= (150×4.2+50×0.5) (32-5) = 17550J
Where L = 330J/g
mi= 53.2g
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