a. 0.5 mol
b. 25 cm³
c. (i) 75 cm³
(ii) 50 cm³
Further explanation
Avogadro's hypothesis:
In the same T,P and V, the gas contains the same number of molecules
So the ratio of gas volume will be equal to the ratio of gas moles
![\tt (V_1)/(n_1)=(V_2)/(n_2)](https://img.qammunity.org/2021/formulas/chemistry/high-school/hxv8c299p9immd0ilgyv7hpdr1ksa37et0.png)
Reaction
2NO(g)+O₂(g)⇒2NO₂(g)
a. mol O₂
![\tt mol~O_2=(1)/(2)* 1~mol~NO=0.5](https://img.qammunity.org/2021/formulas/chemistry/high-school/h25e1sei562mutr1atjzfzi03jc26cibgh.png)
b. volume of O₂
![\tt (50)/(1)=(V_2)/(0.5)\rightarrow V_2=25](https://img.qammunity.org/2021/formulas/chemistry/high-school/jh9k40prm0fu6eh8r4lumyge86b0qzoxva.png)
c. (i)total volume
![\tt volume~NO+volume~O_2=50+25=75~cm^3](https://img.qammunity.org/2021/formulas/chemistry/high-school/shmn77gbipkrf6dx78xp4s2en7iltlteyk.png)
(ii)volume of NO₂
![\tt mol~NO_2=mol~NO=1\rightarrow V~NO=V~NO_2=50~cm^3](https://img.qammunity.org/2021/formulas/chemistry/high-school/dtsgh8bekqtxbzahz22nmwya8x2czu65j6.png)