A gasometer is a large tank for holding fuel gas. The weight of the movable cap determines the pressure of the gas contained within. A large gasometer like the one shown has a cap that is 40m in diameter with a mass of 500,000 kg. If Patmos = 100kPa a)What is the pressure of the gas inside; if the gasometer contains 30,000 kg of natural gas (methane), and the temperature is 10°C b)How high is the top of the cap above the water? if the temperature increases to 20°C c)What is the new height of the cap? d)What is the change in internal energy (kJ)? e)How much work was done (kJ)? f)How much thermal energy was absorbed (kJ)?
A gasometer is a large tank for holding fuel gas. The weight of the movable cap determines the pressure of the gas contained within. A large gasometer like the one shown has a cap that is 40m in diameter with a mass of 500,000 kg. If Patmos = 100kPa a)What is the pressure of the gas inside; if the gasometer contains 30,000 kg of natural gas (methane), and the temperature is 10°C b)How high is the top of the cap above the water? if the temperature increases to 20°C c)What is the new height of the cap? d)What is the change in internal energy (kJ)? e)How much work was done (kJ)? f)How much thermal energy was absorbed (kJ)?
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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A gasometer is a large tank for holding fuel gas. The weight of the movable cap determines the pressure of the gas contained within.
A large gasometer like the one shown has a cap that is 40m in diameter with a mass of 500,000 kg. If Patmos = 100kPa
a)What is the pressure of the gas inside; if the gasometer contains 30,000 kg of natural gas (methane), and the temperature is 10°C
b)How high is the top of the cap above the water? if the temperature increases to 20°C
c)What is the new height of the cap?
d)What is the change in internal energy (kJ)?
e)How much work was done (kJ)?
f)How much thermal energy was absorbed (kJ)?
![### Diagram Explanation:
The image presents a schematic diagram of a cylindrical system partially submerged in water, designed to study gas flow behavior.
#### Key Components:
1. **Cylinder**:
- **Dimensions**: Diameter (D) = 40 meters
- **Mass (m)**: 500,000 kg
- The cylinder is shown in green, floating on the water's surface.
2. **Water**:
- The blue section represents water. The label "Water" indicates that the lower section of the cylinder is submerged, demonstrating buoyancy.
3. **Gas Flow System**:
- **Gas Inlet**: Located on the left side of the diagram, marked with a red arrow pointing towards the cylinder. Indicates the entry point for gas.
- **Gas Exit**: Positioned on the right side, depicted by a red arrow pointing away from the cylinder. Indicates the gas exit point.
4. **Volume Calculation**:
- The formula given is for the volume of a cylinder:
\[
\text{Vol}_{\text{cylinder}} = \left(\frac{\pi d^2}{4}\right)h
\]
- This formula is used to calculate the volume based on diameter (d) and height (h).
This diagram is useful for understanding principles of buoyancy, cylinder volume calculations, and gas flow systems.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b4cec44-06d6-4169-a442-5f547cf9543b%2F6060058e-72c7-4cc1-a73c-938ad3a6a1c7%2Fe0m18f_processed.png&w=3840&q=75)
Transcribed Image Text:### Diagram Explanation:
The image presents a schematic diagram of a cylindrical system partially submerged in water, designed to study gas flow behavior.
#### Key Components:
1. **Cylinder**:
- **Dimensions**: Diameter (D) = 40 meters
- **Mass (m)**: 500,000 kg
- The cylinder is shown in green, floating on the water's surface.
2. **Water**:
- The blue section represents water. The label "Water" indicates that the lower section of the cylinder is submerged, demonstrating buoyancy.
3. **Gas Flow System**:
- **Gas Inlet**: Located on the left side of the diagram, marked with a red arrow pointing towards the cylinder. Indicates the entry point for gas.
- **Gas Exit**: Positioned on the right side, depicted by a red arrow pointing away from the cylinder. Indicates the gas exit point.
4. **Volume Calculation**:
- The formula given is for the volume of a cylinder:
\[
\text{Vol}_{\text{cylinder}} = \left(\frac{\pi d^2}{4}\right)h
\]
- This formula is used to calculate the volume based on diameter (d) and height (h).
This diagram is useful for understanding principles of buoyancy, cylinder volume calculations, and gas flow systems.
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