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Domestic LPG cylinder has the following dimensions: height = 580 mm, diameter = 318 mm. Assume there is only butane in the cylinder. Given that the initial pressure inside the cylinder is 2.5 bar and the ambient temperature is 298.15 K. According to the print on the cylinder, a full cylinder has 15 kg gas. Some part of butane is in liquid state and some part is in gas state. Use Redlich Kwong equation of state for all process calculations.?
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Domestic LPG cylinder has the following dimensions: height = 580 mm, d...
Dimensions of the Domestic LPG Cylinder:
- Height: 580 mm
- Diameter: 318 mm

Initial Conditions:
- Initial pressure inside the cylinder: 2.5 bar
- Ambient temperature: 298.15 K

Redlich Kwong Equation of State:
The Redlich Kwong equation of state is commonly used to estimate the properties of non-ideal gases and liquids. It takes into account the intermolecular forces and the volume occupied by the molecules.

Calculating the Volume of the Cylinder:
The volume of the cylinder can be calculated using the formula for the volume of a cylinder:

V = πr^2h

Where:
- V is the volume of the cylinder
- r is the radius of the cylinder (diameter/2)
- h is the height of the cylinder

Substituting the given values:
- r = 318/2 = 159 mm = 0.159 m
- h = 580 mm = 0.58 m

V = π(0.159)^2(0.58) = 0.035 m^3

Calculating the Mass of Butane in the Cylinder:
The mass of butane in the cylinder can be calculated using the density of butane and the volume of the cylinder. The density of butane is assumed to be constant at the given conditions.

Density of butane at 298.15 K: 573 kg/m^3

Mass of butane = Density × Volume
= 573 kg/m^3 × 0.035 m^3
= 20.055 kg

Determining the State of Butane:
Since the cylinder is full and contains 15 kg of gas, it means that there is some liquid butane as well. To determine the state of butane, we need to consider the vapor-liquid equilibrium.

Using the Redlich Kwong Equation:
The Redlich Kwong equation of state can be used to determine the pressure and temperature at which the liquid and gas phases coexist. By solving the equation, we can find the vapor fraction (liquid and gas phase composition) and the pressure and temperature at equilibrium.

Conclusion:
- The dimensions of the domestic LPG cylinder are provided as height = 580 mm and diameter = 318 mm.
- The Redlich Kwong equation of state is used for all process calculations.
- The volume of the cylinder is calculated using the formula for the volume of a cylinder.
- The mass of butane in the cylinder is calculated using the density of butane and the volume of the cylinder.
- The state of butane is determined by considering the vapor-liquid equilibrium.
- The Redlich Kwong equation of state is used to find the vapor fraction, pressure, and temperature at equilibrium.
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Domestic LPG cylinder has the following dimensions: height = 580 mm, diameter = 318 mm. Assume there is only butane in the cylinder. Given that the initial pressure inside the cylinder is 2.5 bar and the ambient temperature is 298.15 K. According to the print on the cylinder, a full cylinder has 15 kg gas. Some part of butane is in liquid state and some part is in gas state. Use Redlich Kwong equation of state for all process calculations.?
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Domestic LPG cylinder has the following dimensions: height = 580 mm, diameter = 318 mm. Assume there is only butane in the cylinder. Given that the initial pressure inside the cylinder is 2.5 bar and the ambient temperature is 298.15 K. According to the print on the cylinder, a full cylinder has 15 kg gas. Some part of butane is in liquid state and some part is in gas state. Use Redlich Kwong equation of state for all process calculations.? for Chemical Engineering 2024 is part of Chemical Engineering preparation. The Question and answers have been prepared according to the Chemical Engineering exam syllabus. Information about Domestic LPG cylinder has the following dimensions: height = 580 mm, diameter = 318 mm. Assume there is only butane in the cylinder. Given that the initial pressure inside the cylinder is 2.5 bar and the ambient temperature is 298.15 K. According to the print on the cylinder, a full cylinder has 15 kg gas. Some part of butane is in liquid state and some part is in gas state. Use Redlich Kwong equation of state for all process calculations.? covers all topics & solutions for Chemical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Domestic LPG cylinder has the following dimensions: height = 580 mm, diameter = 318 mm. Assume there is only butane in the cylinder. Given that the initial pressure inside the cylinder is 2.5 bar and the ambient temperature is 298.15 K. According to the print on the cylinder, a full cylinder has 15 kg gas. Some part of butane is in liquid state and some part is in gas state. Use Redlich Kwong equation of state for all process calculations.?.
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