# In an experiment,60 cubic cm of oxygen diffused a porous pot in 10seconds and 100 cubic cm of chlorine diffused the same porous pot in 30seconds. If density of oxygen is 1.25 calculate density of chlorine

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In an experiment,60 cubic cm of oxygen diffused a porous pot in 10seconds and 100 cubic cm of chlorine diffused the same porous pot in 30seconds. If density of oxygen is 1.25 calculate density of chlorine

We can use Graham's law of diffusion to solve this problem, which states that the rate of diffusion of a gas is inversely proportional to the square root of its density.

Let's first find the rate of diffusion of oxygen and chlorine:

Rate of diffusion of oxygen = Volume of oxygen / Time taken = 60 cm3 / 10 s = 6 cm3/s

Rate of diffusion of chlorine = Volume of chlorine / Time taken = 100 cm3 / 30 s = 3.33 cm3/s

Now, we can set up the following equation using Graham's law:

Rate of diffusion of oxygen / Rate of diffusion of chlorine = sqrt(density of chlorine / density of oxygen)

Plugging in the values we have calculated, we get:

6 cm3/s / 3.33 cm3/s = sqrt(density of chlorine / 1.25)

Simplifying and solving for density of chlorine, we get:

Density of chlorine = (6 cm3/s / 3.33 cm3/s)2 * 1.25 = 5.67 g/cm3

Therefore, the density of chlorine is approximately 5.67 g/cm3.