Final answer:
The density of a gas mixture can be calculated using the ideal gas law and the average molar mass of the gases involved. Given the mass, temperature, and pressure, one can use the formula density = (P*M)/(R*T) to find the gas mixture's density.
Step-by-step explanation:
To calculate the density of the gas mixture given the total mass and equal moles of nitrogen (N2) and neon (Ne), we would use the ideal gas law combined with the concept of mixture mass. The ideal gas law is PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature.
First, we would calculate the molar mass of the gas mixture by taking the average of the molar masses of N2 (28.01 g/mol) and Ne (20.18 g/mol). Since there are equal moles of each gas, the molar mass of the mixture will be the average of the two, which is (28.01 g/mol + 20.18 g/mol) / 2 = 24.095 g/mol.
With the given conditions of 500 K and 15.00 atm, and knowing the total mass of the gas mixture (10.0 g), we can then use the rearranged ideal gas law density formula: density = (m/V) = (P*M)/(R*T) to find the density, where M is the molar mass.