Explanation:

Adiabatic Process:
An adiabatic process is a thermodynamic process in which there is no heat transfer to or from the system. The word "adiabatic" comes from the Greek root "adiabatos," which means "not to be passed through." In an adiabatic process, the system is thermally isolated, so there is no heat transfer between the system and its surroundings. The adiabatic process can be reversible or irreversible, depending on whether the system can return to its initial state after the process.

Work Done in an Adiabatic Process:
The work done in an adiabatic process between a given pair of end states depends on several factors. However, the correct option among the given ones is option 'B,' which states that the work done depends only on the end states.

Factors Affecting Work Done in an Adiabatic Process:
There are several factors that affect the work done in an adiabatic process. Some of the significant ones are as follows:

Particular Adiabatic Process:
In an adiabatic process, the work done depends on the particular process. The process can be reversible or irreversible, and the work done will be different for each process.

Value of Index n:
The work done in an adiabatic process also depends on the value of the index n, which is the ratio of the specific heats of the gas. The value of n determines the relationship between pressure and volume during the process.

Value of Heat Transferred:
Since an adiabatic process is thermally isolated, there is no heat transfer between the system and its surroundings. Therefore, the work done in an adiabatic process does not depend on the value of heat transferred.

Mass of the System:
The work done in an adiabatic process does not depend on the mass of the system. The work done is a function of the pressure and volume of the system.

Conclusion:
In conclusion, the work done in an adiabatic process between a given pair of end states depends only on the end states and not on the other factors mentioned above. Therefore, option 'B' is the correct answer.