When a graph is drawn between the pressure and temperature of the gas ...
When a graph is plotted between pressure on y-axis and temperature on x-axis straight line is formed at a constant volume and this graph is known as isochoric. As we know that gay lussac’s law proposes that at the constant volume the pressure and temperature are directly proportional.
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When a graph is drawn between the pressure and temperature of the gas ...
Understanding Gas Laws
In thermodynamics, different types of processes are defined based on the variables that are held constant. When examining the relationship between pressure and temperature, it is essential to identify the correct type of process.
What is an Isochoric Process?
- An isochoric process is one in which the volume of the gas remains constant.
- During this process, any change in temperature will directly affect the pressure of the gas, leading to a relationship between temperature and pressure.
Characteristics of an Isochoric Process:
- Constant Volume: The volume does not change, which means the gas is contained within a rigid container.
- Pressure-Temperature Relationship: According to Gay-Lussac's Law, if the volume is constant, the pressure of the gas is directly proportional to its temperature (in Kelvin).
Other Process Types for Context:
- Isobaric Process (Option B): Involves constant pressure while the volume and temperature can change.
- Isothermal Process (Option C): Maintains constant temperature while pressure and volume vary.
- Isotopic Process (Option D): Generally relates to isotopes in nuclear chemistry, not applicable here.
Conclusion
The given question asks for the relationship between pressure and temperature, which fits the description of an isochoric process where volume is constant. Therefore, the correct answer is option 'A'. Recognizing these distinctions is crucial for understanding gas behavior in various thermodynamic processes.