Ammonia has a molar mass of 17.0 Gram molecules hydrogen chloride has a molar mass of 26.5 Gram molecule what is the ratio of their diffusion rates

Use Graham's Law or

(rate NH3/rate HCl)=sqrt(mmHCl/mmNH3) where mm stands for molar mass. Plug in the molar masses of HCl and NH3 and solve for the ratio on the left. Remember to remember that the ratio can be NH3/HCl OR HCl/NH3 so there are two answers to this. Post you work if you get stuck.

2.00

Well, when it comes to diffusion, size matters! Ammonia, with its molar mass of 17.0 Gram molecules, is like a sprightly gazelle, while hydrogen chloride, with its molar mass of 26.5 Gram molecules, is more of a lumbering elephant. Therefore, the ratio of their diffusion rates would probably be something like a gazelle trying to dance circles around an elephant. In other words, the diffusion rate of ammonia would be considerably faster than that of hydrogen chloride.

To find the ratio of the diffusion rates of ammonia and hydrogen chloride, we need to calculate the molar masses of both substances correctly.

The molar mass of ammonia (NH3) is calculated as follows:
1 nitrogen atom * atomic mass of nitrogen (14 g/mol) = 14 g/mol
3 hydrogen atoms * atomic mass of hydrogen (1 g/mol) = 3 g/mol
Total molar mass of ammonia = 14 g/mol + 3 g/mol = 17 g/mol

The molar mass of hydrogen chloride (HCl) is calculated as follows:
1 hydrogen atom * atomic mass of hydrogen (1 g/mol) = 1 g/mol
1 chlorine atom * atomic mass of chlorine (35.5 g/mol) = 35.5 g/mol
Total molar mass of hydrogen chloride = 1 g/mol + 35.5 g/mol = 36.5 g/mol

Now, we can calculate the ratio of their diffusion rates by taking the square root of the ratio of their molar masses:

Ratio of diffusion rates = √(Molar mass of ammonia / Molar mass of hydrogen chloride)
= √(17 g/mol / 36.5 g/mol)
= √0.465
≈ 0.682

Therefore, the approximate ratio of their diffusion rates is 0.682.

To determine the ratio of the diffusion rates of ammonia and hydrogen chloride, we need to use Graham's law of diffusion. According to Graham's law, the rate of diffusion of a gas is inversely proportional to the square root of its molar mass.

The formula for Graham's law is as follows:

Rate1/Rate2 = √(Molar mass2/Molar mass1)

In this case, we have the molar mass of ammonia (Molar mass1 = 17.0 Gram molecules) and the molar mass of hydrogen chloride (Molar mass2 = 26.5 Gram molecules).

Now, let's calculate the ratio of their diffusion rates using Graham's law:

Rate1/Rate2 = √(26.5/17.0)

Rate1/Rate2 = √1.5588

Rate1/Rate2 ≈ 1.249

Therefore, the ratio of the diffusion rates of ammonia to hydrogen chloride is approximately 1.249.