### Calculating the Rate of Appearance of $ \text{P}_4 $Consider the following chemical reaction:\[ 4 \text{PH}_3 \rightarrow \text{P}_4 + 6 \text{H}_2 \]In a previous step, you calculated the rate of disappearance of $ \text{PH}_3 $ as $ 6.67 \times 10^{-3} $ M/s. The question at hand is: What is the rate of appearance of $ \text{P}_4 $ in the same time frame?To find this, we use the reaction stoichiometry and rate relationships. The rate of reaction can be expressed as:\[ \text{Rate} = -\frac{1}{4} \frac{\Delta [\text{PH}_3]}{\Delta t} = \frac{\Delta [\text{P}_4]}{\Delta t} \]Given that the rate of disappearance of $ \text{PH}_3 $ is $ 6.67 \times 10^{-3} \text{ M/s} $, we use this information to calculate the rate of appearance of $ \text{P}_4 $.\[ \text{Rate}_{\text{P}_4} = \boxed{[?]} \times 10^{\boxed{?}} \text{ M/s} \]Finally, use the "Coefficient (green)" and "Exponent (yellow)" fields to input the appropriate values derived from the calculation to determine the exact rate of appearance of $ \text{P}_4 $.

Given reaction: 4PH3 → P4 + 6H2 The rate of disappearance of P4 = 6.67 × 10-3 M/s

4PH3 ->> P4 + 6H₂ In a previous step, you calculated the rate of disappearance of PH3 at 6.67 x 10-3 M/s. What is the rate of appearance of P4 in the same time frame? Rate = -14 [PH] A[P4] At At Ratep₁ = [?] x 10¹²¹ M/s Coefficient (green) Exponent (yellow) Enter

4PH3 ->> P4 + 6H₂ In a previous step, you calculated the rate of disappearance of PH3 at 6.67 x 10-3 M/s. What is the rate of appearance of P4 in the same time frame? Rate = -14 [PH] A[P4] At At Ratep₁ = [?] x 10¹²¹ M/s Coefficient (green) Exponent (yellow) Enter

Chemistry

10th Edition

ISBN:9781305957404

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

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

Chapter1: Chemical Foundations

Section: Chapter Questions

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### Calculating the Rate of Appearance of $ \text{P}_4 $

Consider the following chemical reaction:

\[ 4 \text{PH}_3 \rightarrow \text{P}_4 + 6 \text{H}_2 \]

In a previous step, you calculated the rate of disappearance of $ \text{PH}_3 $ as $ 6.67 \times 10^{-3} $ M/s. The question at hand is: What is the rate of appearance of $ \text{P}_4 $ in the same time frame?

To find this, we use the reaction stoichiometry and rate relationships. The rate of reaction can be expressed as:

\[ \text{Rate} = -\frac{1}{4} \frac{\Delta [\text{PH}_3]}{\Delta t} = \frac{\Delta [\text{P}_4]}{\Delta t} \]

Given that the rate of disappearance of $ \text{PH}_3 $ is $ 6.67 \times 10^{-3} \text{ M/s} $, we use this information to calculate the rate of appearance of $ \text{P}_4 $.

\[ \text{Rate}_{\text{P}_4} = \boxed{[?]} \times 10^{\boxed{?}} \text{ M/s} \]

Finally, use the "Coefficient (green)" and "Exponent (yellow)" fields to input the appropriate values derived from the calculation to determine the exact rate of appearance of $ \text{P}_4 $.

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