Question

Find the average speed of hydrogen sulfide, H₂S, molecules at a temperature of 250 K. Its molar mass is 31.4 g/mol.

(i) 300 m/s
(ii) 500 m/s
(iii) 700 m/s
(iv) 900 m/s

Answer 1

The average speed of hydrogen sulfide molecules at a temperature of 250 K is approximately 411 m/s.

Step-by-step explanation:

The average speed of molecules can be calculated using the root mean square (RMS) formula:

Vrms = √(3RT / M)

Where:

Vrms is the average speed of the molecules

R is the ideal gas constant, approximately 8.314 J/(mol·K)

T is the temperature in Kelvin

M is the molar mass of the molecule

In this case, for hydrogen sulfide (H2S) with a molar mass of 31.4 g/mol and a temperature of 250 K:

Vrms = √(3 * 8.314 J/(mol·K) * 250 K / 31.4 g/mol)

Vrms ≈ 411 m/s

Therefore, the average speed of hydrogen sulfide molecules at a temperature of 250 K is approximately 411 m/s.