Question

Calculate the root-mean-square velocity for a hydrogen molecule at

Answer 1

Answer:

56.5 m/s

Explanation:

Step 1: Convert the temperature to Kelvin

We will use the following expression.

K = °C + 273.15

K = -15.0°C + 273.15 = 258.2 K

Step 2: Calculate the root-mean-square velocity

The root-mean-square velocity is the square root of the average square velocity. We can calculate it using the following expression.

$v_{rms} = \sqrt{\frac{3RT}{M} }$

where,

• R: ideal gas constant

• T: absolute temperature

• M: molar mass of the gas

$v_{rms} = \sqrt{\frac{3 \times \frac{8.314J}{mol.K} \times 258.2K }{2.02g/mol} } = 56.5m/s$