Final answer:
The appropriate gas law to describe the change in temperature is Charles's Law.
Step-by-step explanation:
The temperature of a gas can be changed using different gas laws. In this case, the temperature of 1.80 mol of an ideal monatomic gas is raised by 10.1 K. To determine which gas law is applicable, we need to consider the relationship between temperature and the other variables (pressure, volume, and number of moles). Since the focus is on the change in temperature while keeping the other variables constant, the appropriate gas law is Charles's Law. This law states that at constant pressure, the volume of an ideal gas is directly proportional to its temperature.