A rigid tank contains 2 kg of water In the question that follows, select the answe
A rigid tank contains 2 kg of water In the question that follows, select the answe
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
![### Problem Statement
A rigid tank contains 2 kg of water at 100°C and 60 percent quality.
*In the question that follows, select the answer that is closest to the true value.*
**What is the volume of the rigid tank in units of m³?**
### Explanation
This problem provides information about a thermodynamic system involving water. The key components to address include:
- **Mass of Water:** 2 kg
- **Temperature:** 100°C
- **Quality:** 60 percent
#### Key Concepts
- **Quality:** The concept of quality in thermodynamics refers to the ratio of the mass of vapor to the total mass (vapor + liquid) in a saturated mixture. A quality of 60 percent means that 60 percent of the mass is in the vapor phase and 40 percent is in the liquid phase.
#### Objective
Calculate the volume of the rigid tank in cubic meters (m³) using the given conditions. This involves understanding the properties of saturated water at 100°C and determining the specific volumes for both the liquid and vapor states to compute the total volume.
### Solution Approach
To solve this problem, one would typically use thermodynamic tables for water at 100°C to find:
- The specific volume of saturated liquid water (vf)
- The specific volume of saturated vapor water (vg)
Using the quality and specific volumes, the total specific volume (v) can be calculated as:
\[ v = (1 - x) \cdot vf + x \cdot vg \]
where \( x \) is the quality, given as 0.6 (60%).
Then, the volume (V) of the tank can be calculated by:
\[ V = m \cdot v \]
where \( m \) is the mass of the water in the tank.
This calculation will yield the volume in cubic meters.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf91b4d9-e2bf-47e6-8179-c141fe94e8c3%2Ffb06c7eb-cb2a-425d-9f01-32ab9cceb604%2Fkz5o5u_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Statement
A rigid tank contains 2 kg of water at 100°C and 60 percent quality.
*In the question that follows, select the answer that is closest to the true value.*
**What is the volume of the rigid tank in units of m³?**
### Explanation
This problem provides information about a thermodynamic system involving water. The key components to address include:
- **Mass of Water:** 2 kg
- **Temperature:** 100°C
- **Quality:** 60 percent
#### Key Concepts
- **Quality:** The concept of quality in thermodynamics refers to the ratio of the mass of vapor to the total mass (vapor + liquid) in a saturated mixture. A quality of 60 percent means that 60 percent of the mass is in the vapor phase and 40 percent is in the liquid phase.
#### Objective
Calculate the volume of the rigid tank in cubic meters (m³) using the given conditions. This involves understanding the properties of saturated water at 100°C and determining the specific volumes for both the liquid and vapor states to compute the total volume.
### Solution Approach
To solve this problem, one would typically use thermodynamic tables for water at 100°C to find:
- The specific volume of saturated liquid water (vf)
- The specific volume of saturated vapor water (vg)
Using the quality and specific volumes, the total specific volume (v) can be calculated as:
\[ v = (1 - x) \cdot vf + x \cdot vg \]
where \( x \) is the quality, given as 0.6 (60%).
Then, the volume (V) of the tank can be calculated by:
\[ V = m \cdot v \]
where \( m \) is the mass of the water in the tank.
This calculation will yield the volume in cubic meters.
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