Question

Question: Find the rms speed of argon atoms at 313 K.Molar mass of argon atoms is 39.948 g/ mol.

Short answer

Answer:

The RMS speed of argon atom is 442 m /s.

Step-by-step solution

Understanding the concept

We can find the RMS speed using its formula in terms of R, temperature, and molar mass.

The expression for the RMS speed is given by,

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

Calculate the rms speed of argon atoms

The RMS speed of argon atoms is,

$\mathrm{v}=\sqrt{\frac{3\mathrm{RT}}{\mathrm{M}}}$

Molar mass of argon is$\text{M}=39.95\times {10}^{-3}\text{kg}/\text{mol}.$

$$\begin{gathered} \text{v}=\sqrt{\frac{3\left(8.314\right)\left(313\right)}{39.95\times {10}^{-3}}} \\ \text{v}=442.058 \\ \approx 442\text{m}/\text{s} \end{gathered}$$

Therefore the RMS speed of argon atoms is 442 m /s .