Approximately how many ice cubes must melt to cool 650 milliliters of water from 29°C to 0°C? Assume that each ice cube contains 1 mole of H2O and is initially at 0°C. ∆H(fusion) = 6.02 kJ/mol; ∆H(vaporization) = 40.7 kJ/mol c(solid) = 2.09 J/g°C; c(liquid) = 4.18 J/g°C; c(gas) = 1.97 J/g°C Enter your answer numerically.

Answer : The number of ice cubes melt must be, 13

Explanation :

First we have to calculate the mass of water.

Density of water = 1.00 g/mL

Volume of water = 650 mL

Now we have to calculate the heat released on cooling.

Heat released on cooling =

where,

m = mass of water = 650 g

c = specific heat capacity of water =

= final temperature =

= initial temperature =

Now put all the given values in the above expression, we get:

Heat released on cooling =

Heat released on cooling = 78793 J = 78.793 kJ   (1 J = 0.001 kJ)

As, 1 ice cube contains 1 mole of water.

The heat required for 1 ice cube to melt = 6.02 kJ

Now we have to calculate the number of ice cubes melted.

Number of ice cubes melted =

Number of ice cubes melted =

Number of ice cubes melted = 13.1 ≈ 13

Therefore, the number of ice cubes melt must be, 13

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