Current Attempt in Progress X Incorrect. The number of vacancies present in some metal at 757°C is 1.7 x 1024 m 3. Calculate the number of vacancies at 470°C given that the energy for vacancy formation is 1.17 eV/atom; assume that the density at both temperatures is the same. i 1.99E16 -3 mi

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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**Current Attempt in Progress**

**Result**: Incorrect.

**Problem Statement**: 

The number of vacancies present in some metal at 757°C is \( 1.7 \times 10^{24} \, \text{m}^{-3} \). Calculate the number of vacancies at 470°C given that the energy for vacancy formation is 1.17 eV/atom; assume that the density at both temperatures is the same.

**Submitted Answer**: 

\( 1.99 \times 10^{16} \, \text{m}^{-3} \)

Explanation needed for calculation includes understanding of the temperature dependence of vacancy formation, typically modeled through an Arrhenius-type equation. The solution requires calculating the change in vacancy concentration with temperature, keeping the formation energy and structural density constant.
Transcribed Image Text:**Current Attempt in Progress** **Result**: Incorrect. **Problem Statement**: The number of vacancies present in some metal at 757°C is \( 1.7 \times 10^{24} \, \text{m}^{-3} \). Calculate the number of vacancies at 470°C given that the energy for vacancy formation is 1.17 eV/atom; assume that the density at both temperatures is the same. **Submitted Answer**: \( 1.99 \times 10^{16} \, \text{m}^{-3} \) Explanation needed for calculation includes understanding of the temperature dependence of vacancy formation, typically modeled through an Arrhenius-type equation. The solution requires calculating the change in vacancy concentration with temperature, keeping the formation energy and structural density constant.
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