Gas Density Equation

In summary, the conversation discusses the calculation of gas density using the ideal gas law equation, where n is the gas density in mole/m³, P is the pressure in Pascal, V is the volume in m³, R is the individual gas constant, and T is the temperature in Kelvin. The conversation also mentions the calculation of molar density for hydrogen gas at different pressures and temperatures. It is noted that there may be an algebra error in the starting equation, but the calculations were made correctly using the proper equation.
  • #1
kinogram
24
0
If the equation below is correct

[itex]n = PV / (R/T)[/itex]

where :

n = gas density in mole / m³
P = pressure in Pascal
V = volume in m³
R = ideal (individual) gas constant
T = temperature in Kelvin


Given that the individual gas constant - R for H2 = 4124 J / kg K

Then 1 m³ of H2 at 101325 Pa and 273.15 K
should have a molar density of 0.089949

and

1 m³ of H2 at 5 x 10-18 Pa and 2.7 K
should have a molar density of 4.49 x 10-22


are these calculated results correct?




.
 
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  • #2
kinogram said:
If the equation below is correct

[itex]n = PV / (R/T)[/itex]

where :

n = gas density in mole / m³
P = pressure in Pascal
V = volume in m³
R = ideal (individual) gas constant
T = temperature in Kelvin


Given that the individual gas constant - R for H2 = 4124 J / kg K

Then 1 m³ of H2 at 101325 Pa and 273.15 K
should have a molar density of 0.089949

and

1 m³ of H2 at 5 x 10-18 Pa and 2.7 K
should have a molar density of 4.49 x 10-22


are these calculated results correct?




.

There is an algebra error in your starting equation... See http://en.wikipedia.org/wiki/Ideal_gas_law
 
  • #3
Thanks.. I see that now



[itex]PV=nRT[/itex]

Then

[itex]n=PV/(RT)[/itex]


however it looks like the calculations were made correctly according to the proper equation






.
 
Last edited:

What is the "Gas Density Equation"?

The "Gas Density Equation" is a mathematical formula used to calculate the density of a gas. It is also known as the ideal gas law and is represented as PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature.

How is the "Gas Density Equation" used?

The "Gas Density Equation" is used to determine the density of a gas, which is the mass of the gas per unit of volume. It is used in various fields of science, such as chemistry and physics, to study the behavior of gases under different conditions.

What are the units for each variable in the "Gas Density Equation"?

The units for each variable in the "Gas Density Equation" are as follows: P is measured in Pascals (Pa), V is measured in cubic meters (m^3), n is measured in moles (mol), R is measured in Joules per mole-Kelvin (J/mol-K), and T is measured in Kelvin (K).

What is the significance of the gas constant (R) in the "Gas Density Equation"?

The gas constant (R) in the "Gas Density Equation" represents the proportionality between the pressure, volume, number of moles, and temperature of a gas. It is a constant value that is dependent on the type of gas being studied.

What are the assumptions made in the "Gas Density Equation"?

The "Gas Density Equation" is based on the following assumptions: 1) the gas particles do not interact with each other, 2) the gas particles have negligible volume compared to the volume of the container, and 3) the gas particles have elastic collisions with the container walls.

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