In an adiabatic process, the relationship between pressure and volume for an ide

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Question: In an adiabatic process, the relationship between pressure and volume for an ideal gas is given by which equation? (2020)

Options:

Correct Answer: PV^n = constant

Solution:

In an adiabatic process, the relationship is given by PV^n = constant, where n is the heat capacity ratio.

In an adiabatic process, the relationship between pressure and volume for an ideal gas is given by which equation? (2020)

In an adiabatic process, the relationship between pressure and volume for an ideal gas is given by which equation? (2020)

Step 1: Understand what an adiabatic process is. It is a process where no heat is exchanged with the surroundings.
Step 2: Know that in an adiabatic process, the pressure (P) and volume (V) of an ideal gas are related.
Step 3: Learn the specific equation that describes this relationship: PV^n = constant.
Step 4: Identify what 'n' represents. It is the heat capacity ratio, which is the ratio of the specific heat at constant pressure to the specific heat at constant volume.
Step 5: Remember that this equation shows that as the volume changes, the pressure will also change in a specific way, keeping the product of P and V raised to the power of n constant.

Adiabatic Process – An adiabatic process is one in which no heat is exchanged with the surroundings, and the relationship between pressure and volume for an ideal gas can be described by the equation PV^n = constant.
Heat Capacity Ratio – The heat capacity ratio (n) is the ratio of the specific heat at constant pressure (Cp) to the specific heat at constant volume (Cv), and it plays a crucial role in defining the behavior of gases during adiabatic processes.