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Equilibrium: Relating $K_p$ to $K_c$

APCHEM-WGPWVD

The manufacturing of methanol ($CH_3OH$) occurs at 25$^{\circ}$ C as follows:

$$CO_{(g)} \ + \ 2 \ H_{2 (g)} \rightleftharpoons CH_3OH_{(g)} \ \ \ \ \ \ \ \ K_p = 4.3 \times 10^{-4}$$

Which of the following is the value of $K_c$ at the same temperature?

A

$7.2 \times 10^{-7}$

B

$1.8 \times 10^{-5}$

C

$0.26$

D

$3.8$