What is the mass of a material, whose specific heat capacity is 400 J/(kg °C) for a rise in temperature from 15°C to 25°C, when heat received is 20 kJ ?

CONCEPT:

• Specific heat capacity is the amount of heat energy required to raise the temperature of a substance per unit of mass by one unit.
• The specific heat capacity of a material is a physical property.
• It is also an example of an extensive property since its value is proportional to the size of the system being examined.
• Heat received by the material of  mass m,

Q = mc ΔT      ....(1)

Where, m = Mass, c = Specific heat capacity of the material, ΔT = Temperature raised 

CALCULATION:

Given: ΔT = 25°C  - 15°C, = 10°C, c = 400 J/(kg °C, Q = 20 kJ

• Using equation 1,

⇒ 20000 = m × 400 × 10 

⇒ m  = 5 kg

So, the correct answer is option 4.