Specific heat capacity of ice = 2,000 j/kg-°c
latent heat of fusion of water = 334,000 j/kg
specific heat capacity of water = 4,000 j/kg-°c

after the 1 kg block of ice melts, the amount of heat required to raise its temperature to 10 °c is

a. 2,000 j.
b. 4,000 j.
c. 20,000 j.
d. 40,000 j.
e. 334,000 j.

D. 40,000Joules

Explanation:

Heat capacity is defined as the heat required to change the state of a substance.

Simce the substance in question is a block of ice (solid), the heat needed to cause it to melt is Latent heat H = mL

m is the mass of the substance

L is the latent heat of fusion of water

H= 1 × 334,000

= 334,000Joules

Heat required to raise the temperature of the water to 10°C

Q = mCƦ

where C is specific heat capacity of water and Ʀ is change in temperature

Q = 1 × 4000 ×(10-0)

Q= 40,000Joules

Since the block already melts, the heat required will just be

40,000Joules (D)