### Understanding Decay Rates: Example Problem#### Problem:How long does it take for 75% of the purple dye to decay?#### Given Information:- **Rate** = \(1.7 \times 10^{-3} \, \text{s}^{-1} \) [purple dye]- **Time to Decay** (\(t\)) = **[?] s**#### Approach:To find the time (\(t\)) it takes for 75% of the purple dye to decay, we can use first-order kinetics principles. Typically, you can apply the formula related to the exponential decay of the substance.The interactive element is indicated by a text box where the decay time (t) is to be entered, followed by an "Enter" button to submit the calculation.This provides a user a way to input the calculated time and check the correctness of their solution, promoting active engagement with the material.**Note:** Make sure to apply the correct logarithmic calculations to determine the time based on the given decay rate and percentage decay.Feel free to input your calculated decay time and click "Enter" to see if your solution matches the expected outcome!

Given, Rate = 1.7 × 10-3 s-1[purple dye] t = ? s Let initial concentration of purple dye = [purple…

Answered: How long does it take for 75% of the…

How long does it take for 75% of the purple dye to decay? Rate = 1.7 x 10 ³s-¹ [purple dye] S t = [?] s Enter Decay Time (s)

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

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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### Understanding Decay Rates: Example Problem

#### Problem:
How long does it take for 75% of the purple dye to decay?

#### Given Information:

- **Rate** = \(1.7 \times 10^{-3} \, \text{s}^{-1} \) [purple dye]

- **Time to Decay** (\(t\)) = **[?] s**

#### Approach:
To find the time (\(t\)) it takes for 75% of the purple dye to decay, we can use first-order kinetics principles. Typically, you can apply the formula related to the exponential decay of the substance.

The interactive element is indicated by a text box where the decay time (t) is to be entered, followed by an "Enter" button to submit the calculation.

This provides a user a way to input the calculated time and check the correctness of their solution, promoting active engagement with the material.

**Note:** Make sure to apply the correct logarithmic calculations to determine the time based on the given decay rate and percentage decay.

Feel free to input your calculated decay time and click "Enter" to see if your solution matches the expected outcome!

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