question_answer 1)

At a certain temperature and total pressure of \[{{10}^{5}}\]Pa, iodine vapour contains 40% by volume of \[I\] atoms. \[{{I}_{2}}(g)\rightleftharpoons 2I(g)\] Calculate \[{{K}_{p}}\] for the equilibrium.

Answer:

\[{{p}_{1}}=\frac{40}{100}\times \] Total pressure \[=\frac{40}{100}\times {{10}^{5}}=4\times {{10}^{4}}Pa\] \[{{p}_{{{I}_{2}}}}=\frac{60}{100}\times \] Total pressure \[=\frac{60}{100}\times {{10}^{5}}=6\times {{10}^{4}}Pa\] \[{{K}_{p}}=\frac{{{({{p}_{1}})}^{2}}}{{{p}_{{{I}_{2}}}}}=\frac{(4\times {{10}^{2}})}{6\times {{10}^{4}}}\] \[=\frac{16}{6}\times {{10}^{4}}Pa\] \[=2.66\times {{10}^{4}}Pa\]