# A mixture of 0.2 mole O2 and 0.4 mole N2 gas is enclosed in a vessel of certain volume at 27C and 800 torr. If volume of mixture is doubled at same temperature then determine pressure of mixture and individual gases?

##### 1 Answer

#### Explanation:

**Total pressure**

We can use **Boyle's Law** to solve this problem:

#color(blue)(bar(ul(|color(white)(a/a)p_1V_1= p_2V_2 color(white)(a/a)|)))" "#

This gives

#p_2 = p_1 ×V_1/V_2#

In this problem,

**Partial pressures**

Now, we can use a form of **Dalton's Law of Partial Pressures**:

#color(blue)(bar(ul(|color(white)(a/a)p_i = chi_1P_text(tot)color(white)(a/a)|)))" "#

The partial pressure of a gas

Originally,

The mole fractions are still the same in the new volume.

∴