What do we mean when we say that the value of k2 depends upon the unit of volume? And also why doesnt k2 depend upon the unit of temperature?

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Solution

This is given under Charles law , according to which at constant pressure, the volume of a fixed amount of a gas is directly proportional to its absolute temperature.
Now volume is directly proportional to the temperature so, if a quantity will depend on the volume it will automatically depends on the temperature also.
Dependence on the volume means that a quantity will change according to the volume.

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