How to calculate the ratio of diffusion of Br2 molecules to that CI2 molecules at the same temp.
The rate of diffusion is 0.67
So how would I get the ratio???
Steps please and answer!
Thank you for your help!!
To calculate the ratio of the diffusion rates of Br2 to Cl2 molecules at the same temperature, you need to use Graham's law of diffusion. Graham's law states that the rate of diffusion of a gas is inversely proportional to the square root of its molar mass.
The formula for Graham's law of diffusion is:
Rate1/Rate2 = √(Molar mass2/Molar mass1)
In this case, let's represent Br2 as gas 1 and Cl2 as gas 2. The rate of diffusion for Br2 is given as 0.67, and we want to find the ratio of rates, which means we need to solve for Rate2.
1. Re-arrange the formula:
Rate1/Rate2 = √(Molar mass2/Molar mass1)
Rate2 = Rate1 * (Molar mass1/Molar mass2)^0.5
2. Plug in the values:
Rate1 = 0.67 (the given diffusion rate for Br2)
Molar mass1 = the molar mass of Br2 (which is 159.808 g/mol)
Molar mass2 = the molar mass of Cl2 (which is 70.906 g/mol)
Rate2 = 0.67 * (159.808/70.906)^0.5
3. Calculate the ratio:
Rate2 = 0.67 * 2.24
Rate2 ≈ 1.50
So, the ratio of the diffusion rates of Br2 to Cl2 molecules at the same temperature is approximately 1.50.