Two gases A & B haue densities of 0.09 g/cm^3 and 0.16 g/cm^3 respectively.
If they diffuse under the same conditions, determine their relative rates of diffusion.
As molar mass increases density increases so
(rate A)/rate B) = sqrt(denity B/density A)
Post your work if you get stuck.
Answer
I need working of this question (two gases A,B have densities of 0.09g/cm^3 and 0.16g/cm^3 respectively .if they diffuse under the same conditions ,determine their relative rate of diffusion
To determine the relative rates of diffusion between gases A and B, we can 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.
First, let's calculate the molar masses of gases A and B. Given the densities of the gases, we need to convert them to molar masses.
The density of a gas can be calculated using the formula:
Density = Mass / Volume
Rearranging the formula, we can find the mass:
Mass = Density × Volume
Since the volume is not specified, we can assume a standard volume of 1 cm^3 for both gases.
For gas A:
Mass of A = Density of A × Volume = 0.09 g/cm^3 × 1 cm^3 = 0.09 g
For gas B:
Mass of B = Density of B × Volume = 0.16 g/cm^3 × 1 cm^3 = 0.16 g
Now, let's calculate the molar masses using the equation:
Molar Mass = Mass / Number of Moles
The number of moles for each gas will be assumed to be 1 since we are calculating the molar mass of 1 cm^3 of the gas.
For gas A:
Molar Mass of A = Mass of A / Number of Moles = 0.09 g / 1 mol = 0.09 g/mol
For gas B:
Molar Mass of B = Mass of B / Number of Moles = 0.16 g / 1 mol = 0.16 g/mol
Now that we have the molar masses of gases A and B, we can find their relative rates of diffusion.
According to Graham's law, the ratio of the rates of diffusion (R1 and R2) of two gases is given by:
R1 / R2 = √(M2 / M1)
Where M1 represents the molar mass of gas A and M2 represents the molar mass of gas B.
Calculating the relative rates of diffusion:
R1 / R2 = √(0.16 g/mol / 0.09 g/mol) = √(1.78) ≈ 1.33
Therefore, the relative rate of diffusion of gas A to gas B is approximately 1.33.