In a laboratory experiment to measure specific heat capacity of copper, 0.05 kg of water at 60°C was poured into a copper calorimeter with a stirrer of mass 0.20 kg initially at 10°C. After stirring, the final temperature reached to 25°C.
Specific heat of water is taken as 4200 J/kg°C.
(a) What is the quantity of heat released per kg of water per 1°C fall in temperature?
(b) Calculate the heat energy released by water in the experiment in cooling from 70°C to 45°C.
(c) Assuming that the heat released by water is entirely used to raise the temperature of calorimeter from 10°C to 45°C, calculate the specific heat capacity of copper.

Question

In a laboratory experiment to measure specific heat capacity of copper, 0.05 kg of water at 60°C was poured into a copper calorimeter with a stirrer of mass 0.20 kg initially at 10°C. After stirring, the final temperature reached to 25°C.
Specific heat of water is taken as 4200 J/kg°C.
(a) What is the quantity of heat released per kg of water per 1°C fall in temperature?
(b) Calculate the heat energy released by water in the experiment in cooling from 70°C to 45°C.
(c) Assuming that the heat released by water is entirely used to raise the temperature of calorimeter from 10°C to 45°C, calculate the specific heat capacity of copper.

KnowledgeBoat · Accepted Answer

(a) Quantity of heat released per kg of water per 1°C fall in temperature is given by 4200 J/kg°C. (b) Given, m_w = 0.05 kg t_w = 60°C m_c = 0.20 kg t_c = 10°C Specific heat capacity of water = 4200 J kg^-1 K^-1 final temperature of water = 25°C Heat energy given out by water in lowering it's temperature from 70° C to 45° C = m x c x ΔT = 0.05 x 4200 x (70 - 45) = 0.05 x 4200 x 25 = 5250 J (c) Heat energy taken by calorimeter when it raises it's temperature from 10°C to 45°C = m x c x change in temperature = 0.20 × c × (45 - 10) = 0.20 × c × 35 = 7c If there is no loss of energy, Heat energy gained = heat energy lost Substituting the values we get, Hence, specific heat capacity of copper = 750 J kg^-1 K^-1

Physics

Electro-Magnetism

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