Final answer:
For a fixed amount of an ideal gas at constant volume, doubling the pressure results in a doubling of temperature, hence the temperature increases.
Step-by-step explanation:
If you have a fixed amount of an ideal gas at a constant volume and you double the pressure, according to Gay-Lussac's law, the temperature must also increase. This law states that for a given amount of gas held at a constant volume, the pressure is directly proportional to the absolute temperature. Therefore, if the pressure is doubled while the volume remains constant, the temperature must also double to maintain the relationship outlined by the law.
So, the answer to the question is: A) The temperature increases.