Final answer:
To double the volume of a gas without changing the pressure, we need to double the absolute temperature according to Gay-Lussac's and Charles's laws. The correct option is a.
Step-by-step explanation:
If we want to expand a gas to double its original volume without changing the pressure, we will need to double the absolute temperature. This concept comes from Gay-Lussac's law and Charles's law, which relate the volume of a gas to its temperature at constant pressure.
In the case of an ideal gas undergoing an isochoric process (where volume is kept constant), the final temperature is directly proportional to the pressure.
Therefore, if the volume doubles and pressure remains the same, the absolute temperature also has to double to maintain the relationship denoted by the equation PV = nRT, where P is pressure, V is volume, n is the amount of substance, R is the ideal gas constant, and T is temperature in Kelvin.
Hence, Option a is correct.