Question

Shows two different processes by which 1.0 g of nitrogen gas moves from state 1 tostate 2. The temperature of state 1 is 31 ?C.

What is the pressure p1?
What are temperatures (in ?C) T2,T3, and T4?

Answer 1

The pressure
`\(p_1\)` is not provided in the question. The temperatures
`\(T_2\), \(T_3\)`, and
`\(T_4\)` are also not given.

Step-by-step explanation:

The question mentions two different processes by which 1.0 g of nitrogen gas moves from state 1 to state 2. However, the pressure
`\(p_1\)`at state 1 is not provided.

To determine
`\(p_1\)`, we would need additional information, such as the volume or other relevant parameters at state 1, along with the ideal gas law
`(\(PV = nRT\)).`

As for the temperatures
`\(T_2\), \(T_3\),` and
`\(T_4\)`, the only temperature given is
`\(T_1 = 31°C\)` at state 1. Without details about the specific processes (isothermal, adiabatic, etc.) or any additional information about state 2.

we cannot directly calculate
`\(T_2\).` Similarly,
`\(T_3\)` and
`\(T_4\)` cannot be determined without information about the processes occurring between states 2 and 3, and 3 and 4, respectively.

To solve for
`\(T_2\), \(T_3\), and \(T_4\)`, more information about the system's behavior during these transitions or additional parameters for each state is needed.

The ideal gas law or other relevant equations would be applied based on the characteristics of the processes involved.

Answer 2

The question pertains to thermodynamics and requires the application of physics principles to calculate various gas parameters such as pressure, temperature, and work done. It encompasses concepts like the ideal gas law and the van der Waals equation, and specifics will vary depending on the processes involved.

Step-by-step explanation:

The question is related to the thermodynamic properties of gases and involves the use of principles of physics to calculate various parameters such as pressure, temperature, and work done during different processes that a gas undergoes.

The initial information given refers to nitrogen gas undergoing a change from state 1 to state 2 at a specific temperature. To determine the pressure p1, more information is needed, such as volume and the amount of gas. For temperatures T2, T3, and T4 corresponding to different states in the processes described, the problems would typically apply equations from thermodynamics such as the ideal gas law, the van der Waals equation of state, or the adiabatic condition, depending on the specifics of the process. The answer would require applying these concepts and would vary based on the given data or the particular process being described (isothermal, isobaric, adiabatic, etc.).

For example, the van der Waals equation of state is used instead of the ideal gas law to account for the non-ideal behavior of gases under certain conditions. The student should use the van der Waals equation to calculate the work done on the gas when heated at constant pressure, and to compute work done by the gas during compression or expansion. The ideal gas law can be used to relate pressure, volume, temperature, and moles of gas to calculate missing parameters and to deduce changes in internal energy or work done by the gas.