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Calculate the pressure in air in a vessel being evacuated, as a function of evacuation time t. The volume of vessel is V and the initial pressure is p`.The process is assumed to be isothermal and the evacuation constant C is independent upon pressure.?
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Calculate the pressure in air in a vessel being evacuated, as a functi...
Calculation of Pressure in an Evacuated Vessel as a Function of Time
Assumptions:
- Isothermal process
- Evacuation constant C is independent of pressure
Pressure as a Function of Evacuation Time:
The pressure in the vessel being evacuated can be calculated using the formula:
\[ p(t) = p' \times e^{-C \times V \times t} \]
- \( p(t) \): Pressure at time t
- \( p' \): Initial pressure in the vessel
- \( C \): Evacuation constant
- \( V \): Volume of the vessel
- \( t \): Evacuation time
Explanation:
- As the vessel is being evacuated, the pressure inside decreases exponentially with time.
- The rate of decrease is determined by the evacuation constant C, volume V, initial pressure p', and evacuation time t.
- The formula is derived from the ideal gas law for an isothermal process, where pressure and volume are inversely proportional.
Significance of Parameters:
- The initial pressure p' determines the starting point of the pressure decrease.
- The evacuation constant C controls the rate at which the pressure decreases.
- The volume V of the vessel affects the overall pressure change.
In conclusion, the pressure in an air vessel being evacuated can be calculated as a function of evacuation time using the provided formula. This equation helps in understanding how the pressure changes over time during the evacuation process.
Assumptions:
- Isothermal process
- Evacuation constant C is independent of pressure
Pressure as a Function of Evacuation Time:
The pressure in the vessel being evacuated can be calculated using the formula:
\[ p(t) = p' \times e^{-C \times V \times t} \]
- \( p(t) \): Pressure at time t
- \( p' \): Initial pressure in the vessel
- \( C \): Evacuation constant
- \( V \): Volume of the vessel
- \( t \): Evacuation time
Explanation:
- As the vessel is being evacuated, the pressure inside decreases exponentially with time.
- The rate of decrease is determined by the evacuation constant C, volume V, initial pressure p', and evacuation time t.
- The formula is derived from the ideal gas law for an isothermal process, where pressure and volume are inversely proportional.
Significance of Parameters:
- The initial pressure p' determines the starting point of the pressure decrease.
- The evacuation constant C controls the rate at which the pressure decreases.
- The volume V of the vessel affects the overall pressure change.
In conclusion, the pressure in an air vessel being evacuated can be calculated as a function of evacuation time using the provided formula. This equation helps in understanding how the pressure changes over time during the evacuation process.
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Calculate the pressure in air in a vessel being evacuated, as a function of evacuation time t. The volume of vessel is V and the initial pressure is p`.The process is assumed to be isothermal and the evacuation constant C is independent upon pressure.?
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Calculate the pressure in air in a vessel being evacuated, as a function of evacuation time t. The volume of vessel is V and the initial pressure is p`.The process is assumed to be isothermal and the evacuation constant C is independent upon pressure.? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Calculate the pressure in air in a vessel being evacuated, as a function of evacuation time t. The volume of vessel is V and the initial pressure is p`.The process is assumed to be isothermal and the evacuation constant C is independent upon pressure.? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the pressure in air in a vessel being evacuated, as a function of evacuation time t. The volume of vessel is V and the initial pressure is p`.The process is assumed to be isothermal and the evacuation constant C is independent upon pressure.?.
Calculate the pressure in air in a vessel being evacuated, as a function of evacuation time t. The volume of vessel is V and the initial pressure is p`.The process is assumed to be isothermal and the evacuation constant C is independent upon pressure.? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Calculate the pressure in air in a vessel being evacuated, as a function of evacuation time t. The volume of vessel is V and the initial pressure is p`.The process is assumed to be isothermal and the evacuation constant C is independent upon pressure.? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the pressure in air in a vessel being evacuated, as a function of evacuation time t. The volume of vessel is V and the initial pressure is p`.The process is assumed to be isothermal and the evacuation constant C is independent upon pressure.?.
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