A gaseous oxide contains 30.4% of nitrogen, one molecule of which contains one nitrogen atom. The density of the oxide relative to oxygen gas is.........
A strange question.
I would start by determining the formula of the oxide.
N = 30.4%
O = 69.6%
moles N = 30.4/14 = ??
moles O = 69.6/16 = ??
determine ratio of mols to each other and divide molar mass of the oxide by 32 to obtain the density relative to oxygen. Post your work if you get stuck.
To determine the density of the oxide relative to oxygen gas, we need to gather some information.
We know that the oxide contains 30.4% nitrogen. This means that the remaining percentage of the oxide consists of other elements, with oxygen being the most likely candidate since we are comparing the oxide to oxygen gas.
Let's assume that the oxide contains only nitrogen and oxygen.
To calculate the percentage of oxygen in the oxide, we subtract the percentage of nitrogen from 100%:
Percentage of Oxygen = 100% - Percentage of Nitrogen
Percentage of Oxygen = 100% - 30.4% = 69.6%
Therefore, the oxide contains 69.6% oxygen.
Next, we need to consider the molecular weights of nitrogen and oxygen.
The molecular weight of nitrogen is approximately 14 grams per mole (g/mol), while the molecular weight of oxygen is approximately 16 g/mol.
Since one molecule of the oxide contains one nitrogen atom, the molecular weight of the oxide is equal to the molecular weight of nitrogen, that is, 14 g/mol.
Now, we have the information needed to calculate the density of the oxide relative to oxygen gas.
Density is defined as mass per unit volume. The relative density compares one substance to another, in this case, the oxide to oxygen gas.
We know that one mole of any gas, at the same conditions, occupies the same volume. This is known as molar volume and is approximately equal to 22.4 liters.
The molar mass of oxygen gas (O2) is 32 g/mol, while the molar mass of the oxide (containing nitrogen) is 14 g/mol.
To derive the density of the oxide relative to oxygen gas, we will compare the grams of each substance per unit volume.
For oxygen gas, the density can be calculated as:
Density of Oxygen Gas = Molar Mass of Oxygen Gas / Molar Volume
Density of Oxygen Gas = 32 g/mol / 22.4 L/mol = 1.43 g/L
For the oxide, we need to determine the grams of the oxide in one liter. Since the oxide contains 30.4% nitrogen (14 g/mol) and 69.6% oxygen (16 g/mol), we can calculate:
Mass of Nitrogen in one liter = 30.4% * 14 g = 4.256 g
Mass of Oxygen in one liter = 69.6% * 16 g = 11.136 g
Total Mass of the Oxide in one liter = 4.256 g + 11.136 g = 15.392 g
Now, we can determine the density of the oxide relative to oxygen gas:
Density of Oxide relative to Oxygen Gas = Total Mass of the Oxide in one liter / Molar Volume
Density of Oxide relative to Oxygen Gas = 15.392 g / 22.4 L/mol = 0.687 g/L
Therefore, the density of the oxide relative to oxygen gas is approximately 0.687 g/L.