1. The hydrolysis of pyrophosphate can be described by the reaction: H2PO,2- + H2O → 2 H2PO4- If the pH is held constant, the reaction is pseudo-first order with respect to H2PO;2-. (a) If, at a given pH, the half-life of pyrophosphate is 140 h at 75°C and 13 h at 100ºC, what is Ea for the reaction? (b) Estimate the time required for 50% hydrolysis of pyrophosphate in a solution at the same pH as in part (b), but at 20ºC.
1. The hydrolysis of pyrophosphate can be described by the reaction: H2PO,2- + H2O → 2 H2PO4- If the pH is held constant, the reaction is pseudo-first order with respect to H2PO;2-. (a) If, at a given pH, the half-life of pyrophosphate is 140 h at 75°C and 13 h at 100ºC, what is Ea for the reaction? (b) Estimate the time required for 50% hydrolysis of pyrophosphate in a solution at the same pH as in part (b), but at 20ºC.
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Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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What is the activation energy for a) & time for b) ?
![**Hydrolysis of Pyrophosphate Reaction and Kinetics**
1. The hydrolysis of pyrophosphate can be described by the reaction:
\[
\text{H}_2\text{P}_2\text{O}_7^{2-} + \text{H}_2\text{O} \rightarrow 2 \text{H}_2\text{PO}_4^{-}
\]
If the pH is held constant, the reaction is pseudo-first order with respect to \(\text{H}_2\text{P}_2\text{O}_7^{2-}\).
**(a)** If, at a given pH, the half-life of pyrophosphate is 140 hours at 75°C and 13 hours at 100°C, what is \(E_a\) for the reaction?
**(b)** Estimate the time required for 50% hydrolysis of pyrophosphate in a solution at the same pH as in part (a), but at 20°C.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F91195c14-8c67-42a0-b9d0-a3e8c2a59df0%2F0a752df7-201a-45e8-be6b-ffdefbd593fd%2Faelf9y_processed.png&w=3840&q=75)
Transcribed Image Text:**Hydrolysis of Pyrophosphate Reaction and Kinetics**
1. The hydrolysis of pyrophosphate can be described by the reaction:
\[
\text{H}_2\text{P}_2\text{O}_7^{2-} + \text{H}_2\text{O} \rightarrow 2 \text{H}_2\text{PO}_4^{-}
\]
If the pH is held constant, the reaction is pseudo-first order with respect to \(\text{H}_2\text{P}_2\text{O}_7^{2-}\).
**(a)** If, at a given pH, the half-life of pyrophosphate is 140 hours at 75°C and 13 hours at 100°C, what is \(E_a\) for the reaction?
**(b)** Estimate the time required for 50% hydrolysis of pyrophosphate in a solution at the same pH as in part (a), but at 20°C.
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