it was found that in an experiment tthat a gas c diffuses 8.76¡Á10^-1 times faster than nitrogen gas calculate the molecular mass of gas c (n=14)
To calculate the molecular mass of gas C, we first need to understand the concept of diffusion and the factors that influence it.
Diffusion refers to the movement of particles from an area of high concentration to an area of low concentration. The rate of diffusion depends on factors such as temperature, pressure, and the mass of the particles.
In this case, gas C is said to diffuse 8.76 × 10^-1 times faster than nitrogen gas. Since nitrogen gas has a molecular mass of 28 g/mol (n = 14 as given), we can use this information to find the molecular mass of gas C.
Let's call the molecular mass of gas C "M." Since gas C diffuses 8.76 × 10^-1 times faster than nitrogen gas, we can set up the following equation:
Rate of diffusion of gas C / Rate of diffusion of nitrogen gas = √(M_N2 / M)
where M_N2 is the molecular mass of nitrogen gas.
Plugging in the given values, we get:
8.76 × 10^-1 = √(28 / M)
To solve for M, we need to isolate it on one side of the equation. Squaring both sides of the equation gives:
(8.76 × 10^-1)^2 = (28 / M)
Simplifying this further, we get:
0.766 = 28 / M
Now we can solve for M by rearranging the equation:
M = 28 / 0.766 ≈ 36.51 g/mol
Therefore, the molecular mass of gas C is approximately 36.51 g/mol.