Calculate the magnitude of the heat transfer (kJ) required to cool 55.0 liters of a liquid mixture containing 70.0 wt% acetone and 30.0% 2-methyl-1-pentanol (C6H140) from 45.0°C to 20.0°C The specific gravity of 2-methyl-1-pentanol is about 0.826. The true heat capacity of 2-methyl-1- pentanol is about 248.0 J/(mol °C). Estimate the required heat transfer using Kopp's rule to estimate the heat i 1713.3 capacities of both acetone and 2-methyl-1-pentanol. Estimate the required heat transfer using the true heat capacities. i 802.00 k. 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
Section: Chapter Questions
Problem 1.1P
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### Heat Transfer Calculation

**Objective:**  
Calculate the magnitude of the heat transfer (kJ) required to cool 55.0 liters of a liquid mixture containing 70.0 wt% acetone and 30.0% 2-methyl-1-pentanol (C₆H₁₄O) from 45.0°C to 20.0°C.

**Given Information:**
- The specific gravity of 2-methyl-1-pentanol: 0.826
- True heat capacity of 2-methyl-1-pentanol: 248.0 J/(mol °C)

**Calculations:**

1. **Estimate the required heat transfer using Kopp's rule**  
   This method estimates the heat capacities of both acetone and 2-methyl-1-pentanol to calculate the necessary heat transfer.

   - **Result:** 1713.3 kJ

2. **Estimate the required heat transfer using the true heat capacities**  
   This method uses the given true heat capacities for a more accurate calculation.

   - **Result:** 802.00 kJ

This example demonstrates the difference between estimating heat transfer using Kopp's rule and using true heat capacities, highlighting the importance of accurate data in chemical engineering calculations.
Transcribed Image Text:### Heat Transfer Calculation **Objective:** Calculate the magnitude of the heat transfer (kJ) required to cool 55.0 liters of a liquid mixture containing 70.0 wt% acetone and 30.0% 2-methyl-1-pentanol (C₆H₁₄O) from 45.0°C to 20.0°C. **Given Information:** - The specific gravity of 2-methyl-1-pentanol: 0.826 - True heat capacity of 2-methyl-1-pentanol: 248.0 J/(mol °C) **Calculations:** 1. **Estimate the required heat transfer using Kopp's rule** This method estimates the heat capacities of both acetone and 2-methyl-1-pentanol to calculate the necessary heat transfer. - **Result:** 1713.3 kJ 2. **Estimate the required heat transfer using the true heat capacities** This method uses the given true heat capacities for a more accurate calculation. - **Result:** 802.00 kJ This example demonstrates the difference between estimating heat transfer using Kopp's rule and using true heat capacities, highlighting the importance of accurate data in chemical engineering calculations.
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