what is the relation between pressure and density of a gas at constant temperature
What is the relation between pressure and density of a gas at constant temperature
Answer:
The relation between pressure and density of a gas at constant temperature is described by the ideal gas law. According to the ideal gas law, the pressure of a gas is inversely proportional to its density when the temperature is held constant. Mathematically, this relationship can be expressed as:
P \propto \frac{n}{V} \propto \frac{1}{\rho}
Where:
- P is the pressure of the gas,
- n is the number of moles of the gas,
- V is the volume of the gas,
- ρ (rho) is the density of the gas.
Therefore, as the pressure of a gas increases while the temperature is kept constant, the density of the gas decreases, and vice versa. This relationship helps us understand how changes in pressure affect the density of a gas within a closed system at constant temperature.