### Equilibrium Mixture and Partial PressuresAn equilibrium mixture of $ \text{PCl}_5 (g) $, $ \text{PCl}_3 (g) $, and $ \text{Cl}_2 (g) $ has partial pressures of 217.0 Torr, 13.2 Torr, and 13.2 Torr, respectively. A quantity of $ \text{Cl}_2 (g) $ is injected into the mixture, and the total pressure jumps to 263.0 Torr at the moment of mixing. The system then re-equilibrates.The chemical equation for this reaction is:\[ \text{PCl}_3 (g) + \text{Cl}_2 (g) \rightleftharpoons \text{PCl}_5 (g) \]Calculate the new partial pressures, $ P $, after equilibrium is reestablished.#### Partial Pressure Calculation:\[P_{\text{PCl}_3} = \_\_\_\_\_\_\_ \text{ Torr}\]\[P_{\text{Cl}_2} = \_\_\_\_\_\_\_ \text{ Torr}\]\[P_{\text{PCl}_5} = \_\_\_\_\_\_\_ \text{ Torr}\]

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Chemistry

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ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

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### Equilibrium Mixture and Partial Pressures

An equilibrium mixture of $ \text{PCl}_5 (g) $, $ \text{PCl}_3 (g) $, and $ \text{Cl}_2 (g) $ has partial pressures of 217.0 Torr, 13.2 Torr, and 13.2 Torr, respectively. A quantity of $ \text{Cl}_2 (g) $ is injected into the mixture, and the total pressure jumps to 263.0 Torr at the moment of mixing. The system then re-equilibrates.

The chemical equation for this reaction is:

\[ \text{PCl}_3 (g) + \text{Cl}_2 (g) \rightleftharpoons \text{PCl}_5 (g) \]

Calculate the new partial pressures, $ P $, after equilibrium is reestablished.

#### Partial Pressure Calculation:

\[
P_{\text{PCl}_3} = \_\_\_\_\_\_\_ \text{ Torr}
\]

\[
P_{\text{Cl}_2} = \_\_\_\_\_\_\_ \text{ Torr}
\]

\[
P_{\text{PCl}_5} = \_\_\_\_\_\_\_ \text{ Torr}
\]

Expert Solution

Step 1: Interpretation of datas :

$G i v e n space comma E q u i l i b r i u m space m i x t u r e space o f space P C I subscript 5 left parenthesis g right parenthesis space comma space P C I subscript 3 left parenthesis g right parenthesis space comma space C I subscript 2 left parenthesis g right parenthesis space A t space e q u i l i b r i u m space colon P subscript P C I subscript 5 end subscript equals 217.0 space T o r r P subscript P C I subscript 3 end subscript equals 13.2 space T o r r P subscript C I subscript 2 end subscript equals 13.2 space T o r r O b j e c t i v e space colon T o space c a l c u l a t e space n e w space p a r t i a l space p r e s s u r e space a f t e r space e q u i l i b r i u m space i s space r e e s t a b l i s h e d.$

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