Question

If 24OO J of energy is used to heat up a 3 kg copper block from 20 C to 22 C. What are the specific heat capacity of copper and the heat capacity of the copper block?

Answer 1

TOPIC :- HEAT TRANSFER

CONCEPT :- Heat transfer takes place from two bodies having some temperature difference which follows following formulas :-

FORMULA

∆Q = m S ∆T , where S = specific heat capacity

∆Q = C ∆T. , C = mS = heat capacity.

STEPS

Given,

m = 3 kg.

∆Q = 2400 J

∆T = 23-22 = 2 °C

Using ∆Q = m S ∆T

=> 2400 = 3 × S × 2

=> S = 400 J / Kg K

Now,

C = m S

= 3 × 400

= 1200 J /K

ADDITIONAL DETAILS FOR IIT-JEE

• The difference between specific heat capacity and heat capacity is that the former is independent of mass while later depends on mass.

• Latent heat of vaporisation Lvap = ∆Q/m

• Latent heat of fusion Lfus = ∆Q/m