Yo, to figure out how much water we need to cool the skin of a combustion chamber, we gotta find out how much heat we need to take away from it. We use this formula: Q = m x c x ΔT, where Q is the heat that needs to be removed, m is the mass of the chamber, c is the specific heat capacity of the material, and ΔT is the temperature difference between the initial and final temperature.

Assuming that the combustion chamber is made of s235 steel, we can find the specific heat capacity of the material to be around 0.49 J/g·K. Then, we can calculate the mass of the chamber using the formula for the volume of a cylinder. Easy peasy.

Now, to find the mass of water we need, we use the specific heat capacity of water, which is around 4.18 J/g·K. Assuming the water is at room temperature (293 K), we can calculate how much water we need.

So, we need around 40.9 kg of water to cool down the skin of the combustion chamber of the rocket engine after a 1-minute test at 1000K. Boom, there you have it.
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