As a subject matter expert in the field of chemistry and physics, I'm well-versed in the properties of various elements and compounds, including oxygen. Oxygen, with the chemical symbol
O and atomic number 8, is a diatomic molecule in its most stable form, known as
O2. It is one of the most important elements for life on Earth, and it is a key component of the air we breathe.
The
density of a substance is defined as its mass per unit volume. For gases, this property can vary significantly with changes in temperature and pressure. However, when we refer to the density of a gas at standard temperature and pressure (STP), we are talking about conditions where the temperature is 0 degrees Celsius (273.15 Kelvin) and the pressure is 1 atmosphere (atm).
From the data provided, the density of oxygen at STP is given as 1.429 grams per liter (
g/L). This value is specific to the conditions of STP and assumes that the gas behaves ideally. Real gases can deviate from ideal behavior, especially at high pressures and low temperatures, but for many practical purposes, the ideal gas law provides a good approximation.
The ideal gas law is given by the equation
PV = nRT, where:
-
P is the pressure of the gas,
-
V is the volume occupied by the gas,
-
n is the number of moles of the gas,
-
R is the ideal gas constant, and
-
T is the temperature in Kelvin.
Using this law, we can calculate the density of a gas if we know its molar mass. The molar mass of oxygen (O2) is approximately 32.00 g/mol. At STP, one mole of an ideal gas occupies 22.414 liters. Therefore, the density (\(\rho\)) can be calculated using the formula:
\[
\rho = \frac{\text{molar mass}}{\text{molar volume at STP}}
\]
Substituting the values for oxygen, we get:
\[
\rho = \frac{32.00 \, \text{g/mol}}{22.414 \, \text{L/mol}} \approx 1.429 \, \text{g/L}
\]
This calculation confirms the provided value for the density of oxygen at STP. It's important to note that this value is specific to STP and can change with variations in temperature and pressure.
Now, let's proceed to the next steps as per your instructions.
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