# Calculating a particles most probable speed

1. Apr 24, 2008

### TFM

[SOLVED] Calculating a particles most probable speed

1. The problem statement, all variables and given/known data

Diatomic carbon dioxide gas (CO2) has molar mass of 44.0 g/mol is at a temperature of 281 Kelvin.

Calculate the most probable speed .

2. Relevant equations

$$V_m_p = \sqrt{\frac{2*k_B*t}{m}}$$

3. The attempt at a solution

$$V_m_p = \sqrt{\frac{2*(1.3807*10^-^2^3)*281}{44}}$$

I have also tried with

$$V_m_p = \sqrt{\frac{2*(1.3807*10^-^2^3)*281}{0.044}}$$

with m in kg/mol, but to no avail. I am sure this is the right equation,

TFM

2. Apr 24, 2008

### Nick89

The m stands for mass, not mass per mol!

Convert the 44g/mol to kg first.

3. Apr 24, 2008

### TFM

It doesn't specify the number of moles, so is it the mass of an individual particle?

TFM

4. Apr 24, 2008

### TFM

I've just checked and it is.

thanks Nick89