20 `dm^(3)` of `SO_(2)` diffuse through a porous partition in 60 s. what volume of `O_(2)` will diffuse under similar conditions in 30 s ?

Explanation

To solve the problem of how much volume of \( O_2 \) will diffuse under similar conditions in 30 seconds, we can use Graham's law of effusion/diffusion. Here’s a step-by-step solution:

### Step 1: Understand the Given Information
We are given:
- Volume of \( SO_2 \) diffused: \( V_{SO_2} = 20 \, dm^3 \)
- Time for \( SO_2 \) diffusion: \( T_{SO_2} = 60 \, s \)
- Time for \( O_2 \) diffusion: \( T_{O_2} = 30 \, s \)

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