Question

A cylinder that has a 41.5-cm radius and is 50.0 cm deep is filled with air at 29.0°C and 1.00 atm shown in figure (a). A 24.0-kg piston is now lowered into the cylinder, compressing the air trapped inside as it takes equilibrium height hi as shown in figure (b). Finally, a 27.0-kg dog stands on the piston, further compressing the air, which remains at 29.0°C as shown in figure (c). When the dog steps onto it, the piston moves 2.35mm.

To what temperature (in Celcius) should the gas be warmed to raise the piston and the dog back to hi?  (31.74°C is incorrect)

Do you somehow have to find the new pressure of the piston after the dog stepped on it to find the temperature needed to raise the piston back up to its original height?

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