Matter wavelength and indeterminate of location and energy

[hubert_g]

I have to find matter wavelength and indeterminate of location and energy for hydrogen particle which is in gas with konwn p, V, T

I'm sorry for my english skills:P

pressure will be $$p_{g}$$

$$\lambda = \frac{h}{p}$$

$$p = mv$$

$$v = \sqrt{\frac{3p_{g}}{\varrho}}$$

$$\varrho = \frac{n\mu}{V}$$

$$p_{g}V = nRT$$

$$\varrho = \frac{p_{g}\mu}{RT}$$

$$v = \sqrt{\frac{3RT}{\mu}}$$

$$\lambda = \frac{h}{m\sqrt{\frac{3RT}{\mu}}}$$

m - mass of hydrogen particle, $$\mu$$ mass of gas particle

Am I doing it correctly so far?

 

[azntoon]

Yes, you are doing it correctly so far. To complete the calculation, you need to specify the values of h (Planck's constant), m (mass of hydrogen particle), \mu (mass of gas particle), p_{g} (gas pressure), V (volume), T (temperature), and n (number of particles). Once you have those values, you can plug them into the equation to calculate the matter wavelength and indeterminate of location and energy for the hydrogen particle.