under the same conditions of temperature and pressure , does hydrogen iodide and ammonia diffuse faster? calculate the ratio of the velocities
molar mass HI = ?
molar mas NH3 = ?
The smaller molar mass diffuses faster.
Are you calling velocity the same as rate?
rate ratio NH3/HI = sqrt(MM HI/MMNH3)
To determine which gas diffuses faster, we need to use Graham's law of diffusion. Graham's law states that the rate of diffusion of two gases is inversely proportional to the square root of their molar masses.
The molar mass of hydrogen iodide (HI) is approximately 127.92 g/mol, and the molar mass of ammonia (NH3) is approximately 17.03 g/mol.
Using Graham's law, we can calculate the ratio of the velocities of the two gases:
Velocity ratio = √(molar mass of gas 1 / molar mass of gas 2)
For this problem, let's calculate the ratio of the velocities of hydrogen iodide (HI) to ammonia (NH3).
Velocity ratio = √(127.92 g/mol / 17.03 g/mol)
Velocity ratio = √(7.51)
Velocity ratio ≈ 2.74
Therefore, at the same conditions of temperature and pressure, hydrogen iodide (HI) would diffuse approximately 2.74 times slower than ammonia (NH3).