Write a chemical equation to express the fact that, at 0 °C, ice melts by absorbing 334 J of heat per gram of ice.

H2O(s) + 334 J ==> H2O(l)

mass ice(g) x 334 J/g = liquid water.
The first is the chemical equation.
The second is the mathematical equation. You didn't say which you wanted.

To write a chemical equation that expresses the process of ice melting, we need to consider the phase change that occurs. The equation will indicate the conversion of ice (solid state) into water (liquid state) by the absorption of heat. However, it's important to note that chemical equations typically involve chemical reactions, and the process of melting in itself is not a chemical reaction.

Instead of writing a chemical equation, we can represent the phase change using a physical equation or a balanced equation focusing on energy transfer. The equation will express the fact that ice absorbs 334 J of heat energy per gram during melting at 0 °C.

Here's the equation:

Q = mcΔT

In this equation, Q represents the amount of heat absorbed or released, m is the mass of ice (in grams), c is the specific heat capacity of water (4.186 J/g°C), and ΔT represents the change in temperature.

Since the ice is at its melting point (0 °C), we can assume ΔT = 0, and therefore:

Q = mc(0) = 334 J

This equation quantifies the amount of heat energy (334 J) that is absorbed by 1 gram of ice when it melts at 0 °C.