Question

16 gm of O2

was filled in a container of capacity 8.21 lit. at 300 K. Calculate

(i) Pressure exerted by O2

(ii) Partial pressure of O2

and O3

if 50 % of oxygen is converted into ozone at same temperature.

(iii) Total pressure exerted by gases if 50% of oxygen is converted into ozone (O3

) at temperature

50 K​

Answer 1

(i) Pressure exerted by O2 is:-

*PV=nRT

P(O2 )= (16/32)0.0821*300/2 = 6.16atm

(ii) Partial pressure of O2 and O3

if 50 % of oxygen is converted into ozone at same temperature is:-

*Partial pressure of O2,O3 = 6.16/2=3.08atm(since both will be equimolar and hence its mole fraction will be same)

(P=XaPa raoult's law)

(iii) Total pressure exerted by gases if 50% of oxygen is converted into ozone (O3) at temperature 50 K is:-

*P(total)=3.08/2atm =1.504atm

(using at T=50k, PV=nRT).