Refer to MultipleConcept Example 3 to see how the concepts...

Refer to MultipleConcept Example 3 to see how the concepts pertinent to this problem are used. The pressure of a gas remains constant while the temperature, volume, and internal energy of the gas increase by $53.0 \mathrm{C}^{\circ}, 1.40 \times 10^{-3} \mathrm{~m}^{3}$, and $939 \mathrm{~J}$, respectively. The mass of the gas is $24.0 \mathrm{~g}$, and its specific heat capacity is $1080 \mathrm{~J} /\left(\mathrm{kg} \cdot \mathrm{C}^{\circ}\right)$. Determine the pressure.

Key Concepts

First Law of Thermodynamics

The First Law of Thermodynamics is a statement of energy conservation, asserting that the change in a system's internal energy is equal to the heat added to the system minus the work done by the system. This principle is crucial for problems involving energy transfer in thermodynamic processes, such as those at constant pressure where both heat and work contribute to changes in internal energy.

Specific Heat Capacity

Specific heat capacity is a property of a substance that indicates the amount of energy required to raise the temperature of a unit mass of that substance by one degree Celsius (or Kelvin). It directly connects the thermal energy added to a system with the resulting temperature increase, making it essential for calculating energy transfers in thermal processes.

Ideal Gas Law

The Ideal Gas Law, given by the equation PV = nRT, relates the pressure, volume, temperature, and amount of an ideal gas. It provides the fundamental relationship among the state variables in gas systems, allowing one to determine any one variable if the others are known, and serves as a basis for many calculations in thermodynamics involving gases.

Work in Constant Pressure Processes

In a constant pressure process, the work done by a gas is given by the product of the pressure and the change in volume (W = P?V). This concept is important because it quantifies the energy expended by the gas as it expands or compresses, and it is a key term in the energy balance described by the First Law of Thermodynamics.

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