Agas of helium atoms (each of mass 6.65 × 10-27 kg) are at room temperature of 20.0°c. what is the de broglie wavelength of the helium atoms that are moving at the root-mean-square speed? (h = 6.626 × 10-34 j · s, the boltzmann constant is 1.38 × 10-23 j/k)

The de Broglie wavelength of the helium atoms is .

Explanation:

Given that,

Mass

Temperature = 20.0°C

We need to calculate the root-mean square speed

Using formula of root mean square speed

Where, N = Avogadro number

M = Molar mass

T = Temperature

k = Boltzmann constant

Put the value into the formula

We need to calculate the de Broglie wavelength

Using formula of de Broglie wavelength

Hence, The de Broglie wavelength of the helium atoms is .