Q. Calculate the partial pressure of carbon monoxide from the following
$\left(\text{CaCO}\right)_{\text{3}} \text{(s)} \overset{\text{Δ}}{ \rightarrow } \text{CaO(s)} \, \text{+} \, \left(\text{CO}\right)_{\text{2}} \uparrow \text{;} \, \, \left(\text{K}\right)_{\text{p}} \, \text{=} \, \text{8} \, \text{\times } \, \left(\text{10}\right)^{- \text{2}}$
$CO_{2}\left(\right.g\left.\right)+C\left(\right.s\left.\right) \rightarrow 2CO\left(\right.g\left.\right)$ ; $K_{p}=2$

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A

0.2

B

0.4

C

1.6

D

4

Solution:

Given, $\left(\text{CaCO}\right)_{\text{3}} \text{(s)} \overset{\text{Δ}}{ \rightarrow } \text{CaO(s)} \, \text{+} \, \left(\text{CO}\right)_{\text{2}} \text{(g)}$
$\text{C(s)} \, \text{+} \, \left(\text{CO}\right)_{\text{2}} \text{(g)} \, \rightarrow \, \text{2CO(g)}$
$\text{K}_{\text{P}_{\text{2}}} \, \text{=} \, \frac{\text{[P}_{\text{CO}} \text{]}^{\text{2}}}{\left[\text{P}_{\text{CO}_{\text{2}}}\right]}\text{;} \, \, \text{P}_{\text{CO}} \, \text{=} \, \sqrt{\left[\text{K}_{\text{P}_{\text{1}}} \, \text{\times } \, \text{K}_{\text{P}_{\text{2}}}\right]}$
$\text{P}_{\text{CO}} = \sqrt{\left[8 \times 10^{- 2} \times 2\right]} = \sqrt{16 \times 10^{- 2}}$

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