Question

7 oxygen gas, o2 , can be converted into ozone, o3 , by passing it through an electric discharge. 3o2 (g) o 2o3 (g) in an experiment, a volume of 300 cm3 of oxygen was used but only 10% of the oxygen was converted into ozone. all volumes were measured at the same temperature and pressure. the total volume of gas present at the end of the experiment, in cm3 , was

Answer 1

Answer:- $290cm^3$

Solution:- The given balanced equation is:

$3O_2(g)\rightarrow 2O_3(g)$

$300cm^3$ of oxygen was used but only 10% of oxygen converted to ozone.

So, the volume of oxygen converted to ozone = $300cm^3(\frac{10}{1000})$

= $30cm^3$

From balanced equation, there is 3:2 ratio between oxygen and ozone. The volume ratio will also be same as the volumes were measured at the same temperature and pressure.

Let's multiply the above calculated volume of oxygen by the ratio.

$30cm^3O_2(\frac{2cm^3O_3}{3cm^3O_2})$

= $20cm^3O_3$

Remaining volume of oxygen = 300 - 30 = $270cm^3$

Total volume of the gas at the end of the experiment

= $270cm^3+20cm^3$

= $290cm^3$

So, at the end of the experiment the volume of the gas present at the end of the experiment was $290cm^3$ .