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What is not made clear in your text is that the R in PV = n RT and the R in PV = m RT have different values because they have different units.goldfish9776 said:Homework Statement
in this notes , i was told that the PV=mRT , why ? shouldn't PV= NRT , N=number of moles ? it should be PV = m/M (RT) , right ?
Homework Equations
The Attempt at a Solution
The ideal gas law, PV = nRT, is a fundamental equation in thermodynamics that describes the relationship between the pressure (P), volume (V), temperature (T), and amount (n) of a gas. When rearranged, this equation can be used to calculate the density (m/V) of an ideal gas.
The variable 'R' represents the ideal gas constant, which is a universal constant that relates the properties of an ideal gas. Its value is 0.0821 L·atm/mol·K at standard temperature and pressure (STP).
The ideal gas law is a crucial tool in many scientific fields, including chemistry, physics, and engineering. It allows researchers to predict and understand the behavior of gases under different conditions, which is essential in various experiments and industrial processes.
According to the ideal gas law, as temperature increases, the volume of an ideal gas also increases. This means that the density of the gas decreases because the same amount of gas is occupying a larger volume. Therefore, temperature has an inverse relationship with gas density.
The ideal gas law is a simplified model that applies to hypothetical ideal gases that have no intermolecular forces and occupy no volume. In reality, most gases deviate from this ideal behavior at high pressures and low temperatures. However, for most practical purposes, the ideal gas law is a good approximation for real gases under normal conditions.