At approximately what temperature (in Kelvin) would a specimen of an alloy have to be carburized for 2.1 h to produce the same diffusion result as at 800°C for 14 h? Assume that values for Do and Qa are 4.6 x 10° 5 m²/s and 163 kJ/mol, respectively. T= K

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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**Problem Statement:**

At approximately what temperature (in Kelvin) would a specimen of an alloy have to be carburized for 2.1 hours to produce the same diffusion result as at 800°C for 14 hours? Assume that values for \( D_0 \) and \( Q_d \) are \( 4.6 \times 10^{-5} \) m\(^2\)/s and 163 kJ/mol, respectively.

**Input Box for Temperature Calculation:**

\[ T = \,\, \text{K} \]

**Explanation:**

This problem involves understanding diffusion in alloys and how temperature and time affect the diffusion results. The parameters given include the diffusion coefficient at a reference temperature and activation energy, which are used in calculations involving the Arrhenius equation. The goal is to find the equivalent temperature at which the diffusion process achieves the same outcome in a shorter time period.
Transcribed Image Text:**Problem Statement:** At approximately what temperature (in Kelvin) would a specimen of an alloy have to be carburized for 2.1 hours to produce the same diffusion result as at 800°C for 14 hours? Assume that values for \( D_0 \) and \( Q_d \) are \( 4.6 \times 10^{-5} \) m\(^2\)/s and 163 kJ/mol, respectively. **Input Box for Temperature Calculation:** \[ T = \,\, \text{K} \] **Explanation:** This problem involves understanding diffusion in alloys and how temperature and time affect the diffusion results. The parameters given include the diffusion coefficient at a reference temperature and activation energy, which are used in calculations involving the Arrhenius equation. The goal is to find the equivalent temperature at which the diffusion process achieves the same outcome in a shorter time period.
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