Final answer:
The constants for the first row of the gas laws table, given the equation PV = k, are temperature and moles of gas, as per Boyle's law, which relates pressure and volume at constant temperature and amount of gas.
Step-by-step explanation:
The constants that would most likely be filled in the first row of the table, where the equation is PV = k, would be temperature and moles of gas. This equation represents Boyle's law, which states that for a given mass of an ideal gas at constant temperature, the volume is inversely proportional to the pressure. In other words, if the temperature and the amount of gas (in moles) are kept constant, the product of the pressure and volume will always be constant (k).
It is important to note that in gas laws, temperatures must always be expressed in kelvins because these laws are derived based on absolute temperatures. Boyle's law is one of several gas laws that describe the behavior of ideal gases under various conditions of pressure, volume, and temperature.