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In a \( 10.0 \mathrm{~L} \) container, an equilibrium was established between \( \mathrm{SO}_{3}, \mathrm{SO}_{2} \) and \( \mathrm{O}_{2} \) gases, by starting with \( \mathrm{SO}_{3} \) only. The density of equilibrium mixture was found to be \( 16 \mathrm{~g} / \) litre at a temperature of \( \frac{900}{0.0821} \mathrm{~K} \). If the degree of dissociation of \( \mathrm{SO}_{3} \) is \( 40 \% \), then the value of \( K_{\mathrm{P}} \) (in atm) for the reaction \( 2 \mathrm{SO}_{3}(\mathrm{~g}) \) \( \rightleftharpoons 2 \mathrm{SO}_{2}(\mathrm{~g})+\mathrm{O}_{2}(\mathrm{~g}) \) is
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