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A 24-cm-diameter vertical cylinder is sealed at the top by a frictionless 21 kg piston. The piston is 77 cm above the bottom when the gas temperature is 315 °C. The air above the piston is at 1.00 atm pressure Express your answer to four significant figures and include the appropriate units

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Final answer:

The Physics question involves applying gas laws and thermodynamic principles to calculate changes in the properties of gas within a cylinder due to temperature and volume changes, using the ideal gas law and adiabatic process equations.

Step-by-step explanation:

The subject of this question relates to the concepts of gas laws and thermodynamics within the field of Physics. More specifically, this question centers around how changes in temperature and volume affect the pressure of a gas and vice versa, which can be understood using the ideal gas law and principles of thermodynamics like adiabatic processes.

To solve these problems, one would typically apply the ideal gas law, PV = nRT, which relates the pressure (P), volume (V), and temperature (T) of a gas, with n being the number of moles and R the ideal gas constant. For processes involving adiabatic changes where no heat is exchanged with the surroundings, the relationship between pressure, volume, and temperature can be described by the adiabatic equation, PVγ = constant, where γ is the heat capacity ratio (Cp/Cv).

Actual exam questions would require the calculation of various properties such as volume, temperature, and pressure under different conditions using the aforementioned relationships.

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