At 11⁰c the rms speed of gas molecule is found to be 1000m/s the molecular mass of gas molecule is
Question
At 11⁰c the rms speed of gas molecule is found to be 1000m/s the molecular mass of gas molecule is
Solution
The question seems to be incomplete. However, I can guide you on how to calculate the molecular mass of a gas if you know the root mean square (rms) speed and the temperature.
The formula to calculate the rms speed (v) of a gas is:
v = sqrt(3kT/m)
where:
- k is the Boltzmann constant (1.38 x 10^-23 J/K),
- T is the temperature in Kelvin,
- m is the molecular mass in kilograms.
You can rearrange this formula to solve for m (molecular mass):
m = 3kT/v^2
Remember to convert the temperature from Celsius to Kelvin by adding 273.15. Also, the molecular mass will be in kilograms per molecule. To convert it to a more common unit like grams per mole, you'll need to multiply by Avogadro's number (6.022 x 10^23 molecules/mole) and divide by 1000 (to convert from kg to g).
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