Final answer:
Without specific conditions such as pressure, volume, and temperature, it's not possible to determine how many moles of gas are in each vessel from the provided options. For accurate calculations, the ideal gas law equation PV = nRT would need to be applied with known values.
Step-by-step explanation:
To determine how many moles of gas are present in a vessel, we can apply the ideal gas law if the pressure, volume, and temperature of the gas are known. However, the provided information does not specify these conditions and only lists arbitrary values of moles (a, b, c, d) without context. To calculate the moles of gas using the ideal gas law, you would need to know the specific volume, pressure, and temperature of the gas and use the equation PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.
An example calculation from the reference materials given is 1.00 m³ of gas at STP contains a specific number of moles, based on Avogadro's number and the volume of the container. The number of molecules per cubic meter at STP (Standard Temperature and Pressure) is given, and the number of moles is calculated by dividing this number by Avogadro's number. The exact answer depends on these conditions being met.