a cooking pan of iron weighs 1.8 kg. Calculate it's thermal Capacity.
specific heat capacity of iron is 450Jkg^-1 K^-1
Answers
Explanation:
Q. a cooking pan of iron weighs 1.8 kg. Calculate it's thermal Capacity.
Ans.The specific heat capacity of a substance is the quantity of heat energy required to raise the temperature of 1 kg of the substance by 1°C. The symbol used for specific heat capacity is c and the units are J/(kg °C) or J/(kg K). (Note that these units may also be written as J kg–1 °C–1 or J kg–1 K–1).
Some typical values of specific heat capacity for the range of temperature 0°C to 100°C include:

Hence to raise the temperature of 1 kg of iron by 1°C requires 500 J of energy, to raise the temperature of 5 kg of iron by 1°C requires (500 × 5) J of energy, and to raise the temperature of 5 kg of iron by 40°C re- quires (500 × 5 × 40) J of energy, i.e. 100 kJ.
In general, the quantity of heat energy, Q, required to raise a mass m kg of a substance with a specific heat capacity of c J/(kg °C), from temperature t1 °C to t2 °C is given by:
Q = mc(t2 – t1) joules
Problem 3. Calculate the quantity of heat required to raise the temperature of 5 kg of water from 0°C to 100°C. Assume the specific heat capacity of water is 4200 J/(kg °C).
Quantity of heat energy,
Q = mc(t2 – t1)
= 5 kg × 4200 J/(kg °C) × (100 – 0)°C
= 5 × 4200 × 100
= 2100000 J or 2100 kJ or 2.1 MJ