Finding Vrms given pressure, density and Temperature

In summary, the problem asks to find the Vrms of a gas at a given temperature and pressure. The equation for Vrms is provided and the student attempts to relate the given density to the molar mass or number of moles, but is unsuccessful. The hint suggests using the ideal gas law, and points out that the answer does not depend on the volume of the gas. The student asks for clarification on how to use the ideal gas law to solve the problem.
  • #1
sckeen1988
15
0

Homework Statement


At 273K and .01 atm, the density of a gas is 1.24*10^-5 g/cm^3. Find the Vrms for the gas molecules.


Homework Equations



Vrms=sqrt(3RT/M) Density=m/V

The Attempt at a Solution



I tried to relate the density given to the molar mass or the number of moles somehow, but failed completely.
 
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  • #2
Use the ideal gas law (assuming it is an ideal gas).
 
  • #3
How can I get volume from that?
 
  • #4
Hint: does the answer really depend on the volume? E.g., if you find the solution for 1 cubic meter of this gas, will you find a different solution for, say, 2 cubic meters, if all of the other given properties are the same?
 
  • #5
Thanks a lot for your help.
 
  • #6
pls enlighten me on how you re-solve this. I don't understand on ohw do you use ideal gas law to resolve this.
 

Related to Finding Vrms given pressure, density and Temperature

1. How do you calculate Vrms using pressure, density, and temperature?

To calculate Vrms using pressure, density, and temperature, you can use the following formula: Vrms = √(3kT/ρ), where k is the Boltzmann constant, T is the temperature in Kelvin, and ρ is the density in kg/m3.

2. What is the significance of Vrms in scientific measurements?

Vrms, or root-mean-square velocity, is a measure of the average speed of particles in a gas or liquid. It is an important parameter in understanding the behavior of gases and can help determine the kinetic energy and temperature of a system.

3. Can Vrms be calculated for all types of gases and liquids?

Yes, Vrms can be calculated for any gas or liquid as long as the pressure, density, and temperature are known. However, the formula for calculating Vrms may differ for different types of gases and liquids.

4. How does changing pressure, density, or temperature affect Vrms?

Changing any of these parameters can affect Vrms. An increase in pressure or temperature will result in an increase in Vrms, while an increase in density will cause a decrease in Vrms. This is because Vrms is directly proportional to the square root of both temperature and pressure, and inversely proportional to the square root of density.

5. What units are used to measure Vrms?

Vrms is typically measured in meters per second (m/s) in the SI system. However, in some cases, it may also be expressed in centimeters per second (cm/s) or other units of velocity.

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