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at 43°c, ( k_p = 2.2 ) for the following reaction: ( so_2cl_2(g) ightle…

Question

at 43°c, ( k_p = 2.2 ) for the following reaction:
( so_2cl_2(g)
ightleftharpoons so_2(g)+cl_2(g) )
calculate k for the reaction at 43°c.
enter your answer to 4 decimal places.

Explanation:

Step1: Convert temperature to Kelvin

$T = 433 + 273 = 706\ K$

Step2: Find $\Delta n$

$\Delta n=(1 + 1)-1 = 1$

Step3: Use the formula $K_p = K(RT)^{\Delta n}$

$K=\frac{K_p}{(RT)^{\Delta n}}$
$R = 0.0821\ L\cdot atm/(mol\cdot K)$
$K=\frac{2.2}{(0.0821\times706)^{1}}$
$K=\frac{2.2}{57.9626}\approx0.03795$

Answer:

$0.0380$