| A self-contained breathing apparatus used \[K{{O}_{2}}\] to convert \[C{{O}_{2}}\] and \[{{H}_{2}}O\] in exhaled air into oxygen and \[KHC{{O}_{3}}\] as shown in the equation \[K{{O}_{2}}+{{H}_{2}}O+C{{O}_{2}}\xrightarrow{\,}\,KHC{{O}_{3}}+{{O}_{2}}\]. |
| How many molecules of \[{{O}_{2(g)}}\] will be produced from the 0.044 g of \[C{{O}_{2(g)}}\] that is exhaled in a typical breath? |
A) \[6\times {{10}^{20}}\]
B) \[4.5\times {{10}^{20}}\]
C) \[2.25\times {{10}^{21}}\]
D) \[4.5\times {{10}^{22}}\]
Correct Answer: B
Solution :
| [b] Balanced reaction is |
| \[2K{{O}_{2}}+{{H}_{2}}O+2C{{O}_{2}}\to 2KHC{{O}_{3}}+\frac{3}{2}{{O}_{2}}\] |
| \[\therefore \] moles of \[{{O}_{2}}=\frac{3}{4}\times \frac{0.044}{44}\] |
| \[\Rightarrow \] molecules \[=\frac{3}{4}\times {{10}^{-3}}\times 6\times {{10}^{23}}\] |
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