Question

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.

Answer 1

Answer: D. 40,000Joules

Step-by-step 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)