5.1. WP A liquid mixture containing 40.0 wt% n-octane and the balance n-decane flows into a tank mounted on a balance. The mass in kg indicated by the scale is plotted against time. The data fall on a straight line that passes through the points (t = 3 min, m = 150 kg) and (t = 10 min, m = 250 kg). a. Estimate the volumetric flow rate of the liquid mixture. b. What does the empty tank weigh?

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 5.1: Flow Rate Estimation**

*A liquid mixture containing 40.0 wt% n-octane with the balance as n-decane flows into a tank mounted on a balance. The mass in kilograms, as indicated by the scale, is plotted against time. The data points form a straight line that passes through the coordinates: (t = 3 min, m = 150 kg) and (t = 10 min, m = 250 kg).*

**Tasks:**

a. Estimate the volumetric flow rate of the liquid mixture.

b. Determine the weight of the empty tank.

**Graph Explanation:**

The problem refers to a straight-line graph with time (in minutes) on the x-axis and mass (in kilograms) on the y-axis. The line passes through the points:

- \( t = 3 \, \text{min}, \, m = 150 \, \text{kg} \)
- \( t = 10 \, \text{min}, \, m = 250 \, \text{kg} \)

To solve the problem, calculate the slope of the line, which represents the rate of mass increase over time, and use it to determine the volumetric flow rate of the mixture. Additionally, extrapolate the line to find the y-intercept, which indicates the weight of the empty tank.
Transcribed Image Text:**Problem 5.1: Flow Rate Estimation** *A liquid mixture containing 40.0 wt% n-octane with the balance as n-decane flows into a tank mounted on a balance. The mass in kilograms, as indicated by the scale, is plotted against time. The data points form a straight line that passes through the coordinates: (t = 3 min, m = 150 kg) and (t = 10 min, m = 250 kg).* **Tasks:** a. Estimate the volumetric flow rate of the liquid mixture. b. Determine the weight of the empty tank. **Graph Explanation:** The problem refers to a straight-line graph with time (in minutes) on the x-axis and mass (in kilograms) on the y-axis. The line passes through the points: - \( t = 3 \, \text{min}, \, m = 150 \, \text{kg} \) - \( t = 10 \, \text{min}, \, m = 250 \, \text{kg} \) To solve the problem, calculate the slope of the line, which represents the rate of mass increase over time, and use it to determine the volumetric flow rate of the mixture. Additionally, extrapolate the line to find the y-intercept, which indicates the weight of the empty tank.
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