Sure! Based on the new specifications you provided, we need to recalculate the mass of the combustion chamber and the temperature difference between the initial and final temperature, and use them to calculate the amount of water needed to evaporate.

The new radius of the cylinder is 0.125 m and the new thickness of the wall is 0.004 m. Therefore, the new radius of the cylinder including the wall thickness is 0.129 m. The new height of the cylinder is still 0.6 m.

To calculate the mass of the combustion chamber, we can use the same formula as before:

m = πr^2hρ

Where r is the radius of the cylinder, h is the height of the cylinder, and ρ is the density of the material. Using the new dimensions, we can calculate the mass of the cylinder as:

m = π(0.129m)^2(0.6m)(7850 kg/m^3) = 151.89 kg

Next, we need to calculate the temperature difference between the initial temperature and the final temperature. Given that the combustion chamber is at 1000K after a 2-minute test, we need to cool it down to a safe temperature before handling it. Assuming a safe temperature of 300K, the temperature difference would be:

ΔT = 1000K - 300K = 700K

Finally, we can use the same formula as before to calculate the amount of heat to be dissipated:

Q = mcΔT = 151.89kg × 460 J/kg·K × 700K = 48,273,774 J

The amount of water needed to evaporate can be calculated as:

m_water = Q / ΔH_vap = 48,273,774 J / 2,260,000 J/kg = 21.36 kg

Therefore, approximately 21.36 kg of water needs to be evaporated to cool down the skin of the combustion chamber of the rocket engine after a 2-minute test, assuming a cylinder with a 25 cm diameter and a wall 4 mm thick.
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