What mass of water at 0°C must be frozen to release a certain amount of heat?

The latent heat of fusion for water is 3.35 x 10⁵ J/kg and the latent heat of vaporization is 2.26 x 10⁶ J/kg. To find out how much mass (m) of water must be frozen to release a specific amount of heat, we can use the formula:

Q = m * L

where:

• Q is the amount of heat released (in joules),
• m is the mass of the water (in kg), and
• L is the latent heat of fusion of water.

If we let Q be equal to the heat released by freezing mass m of water, we can rearrange the formula:

m = Q / L

Now, if we substitute the latent heat of fusion for water:

m = Q / (3.35 x 10⁵ J/kg)

To calculate the mass, we need to know the specific value of Q, which would be provided by the problem context. Once you have that, simply divide Q by 3.35 x 10⁵ to find the mass of water that must be frozen.