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Two cylinders A and B of equal capacity are connected to each other via a stop cock. A contains an ideal gas at standard temperature and pressure. B is completely evacuated. The entire system is thermally insulated. The stop cock is suddenly opened. The process is :
- a)isochoric
- b)isobaric
- c)isothermal
- d)adiabatic
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Two cylinders A and B of equal capacity are connected to each other vi...
For the thermally insulated system,
dQ = 0
and when cock remove
dw = 0
(because in vacuum dw = 0)
dQ = du + dw
So du also zero.
Following are the essential conditions for the adiabatic process to take place. The system must be perfectly insulated from the surrounding. The process must be carried out quickly so that there is a sufficient amount of time for heat transfer to take place.
According to question both conditions satisfied so process will be adiabatic.
dQ = 0
and when cock remove
dw = 0
(because in vacuum dw = 0)
dQ = du + dw
So du also zero.
Following are the essential conditions for the adiabatic process to take place. The system must be perfectly insulated from the surrounding. The process must be carried out quickly so that there is a sufficient amount of time for heat transfer to take place.
According to question both conditions satisfied so process will be adiabatic.
Most Upvoted Answer
Two cylinders A and B of equal capacity are connected to each other vi...
Whenever there is confusion between a process being isothermal or adiabatic, this is to keep in mind that
● Isothermal process -> slow process.
● Adiabatic process -> fast process (suddenly, abruptly, etc).
Since, the word 'suddenly' is used here, it shows that it is an adiabatic process.
● Isothermal process -> slow process.
● Adiabatic process -> fast process (suddenly, abruptly, etc).
Since, the word 'suddenly' is used here, it shows that it is an adiabatic process.
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Community Answer
Two cylinders A and B of equal capacity are connected to each other vi...
Explanation:
The process of connecting two cylinders of equal capacity, one containing an ideal gas at standard temperature and pressure (STP) and the other completely evacuated, via a stopcock and then suddenly opening the stopcock, can be analyzed to determine the type of process that occurs.
Initial Conditions:
- Cylinder A contains an ideal gas at STP (Standard Temperature and Pressure).
- Cylinder B is completely evacuated.
Process:
- The stopcock is suddenly opened, allowing the gas in cylinder A to flow into cylinder B.
Analysis:
To determine the type of process that occurs, we need to consider the factors that define different processes:
1. Change in Volume:
- Since cylinder B is completely evacuated, the volume in cylinder B increases while the volume in cylinder A decreases.
- As a result, the overall volume of the system changes.
2. Change in Pressure:
- The pressure in cylinder A decreases as the gas flows into cylinder B.
- The pressure in cylinder B increases as the gas is introduced.
3. Change in Temperature:
- The entire system is thermally insulated, which means there is no exchange of heat with the surroundings.
- Therefore, there is no change in temperature during the process.
4. Exchange of Heat:
- The process is described as being "thermally insulated," indicating that there is no exchange of heat with the surroundings.
- This means that the process is adiabatic, as there is no heat transfer involved.
Conclusion:
Based on the analysis, the process of connecting the two cylinders and opening the stopcock is an adiabatic process. This means that there is no exchange of heat with the surroundings, and the change in volume and pressure occurs without any change in temperature.
The process of connecting two cylinders of equal capacity, one containing an ideal gas at standard temperature and pressure (STP) and the other completely evacuated, via a stopcock and then suddenly opening the stopcock, can be analyzed to determine the type of process that occurs.
Initial Conditions:
- Cylinder A contains an ideal gas at STP (Standard Temperature and Pressure).
- Cylinder B is completely evacuated.
Process:
- The stopcock is suddenly opened, allowing the gas in cylinder A to flow into cylinder B.
Analysis:
To determine the type of process that occurs, we need to consider the factors that define different processes:
1. Change in Volume:
- Since cylinder B is completely evacuated, the volume in cylinder B increases while the volume in cylinder A decreases.
- As a result, the overall volume of the system changes.
2. Change in Pressure:
- The pressure in cylinder A decreases as the gas flows into cylinder B.
- The pressure in cylinder B increases as the gas is introduced.
3. Change in Temperature:
- The entire system is thermally insulated, which means there is no exchange of heat with the surroundings.
- Therefore, there is no change in temperature during the process.
4. Exchange of Heat:
- The process is described as being "thermally insulated," indicating that there is no exchange of heat with the surroundings.
- This means that the process is adiabatic, as there is no heat transfer involved.
Conclusion:
Based on the analysis, the process of connecting the two cylinders and opening the stopcock is an adiabatic process. This means that there is no exchange of heat with the surroundings, and the change in volume and pressure occurs without any change in temperature.
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Two cylinders A and B of equal capacity are connected to each other via a stop cock. A contains an ideal gas at standard temperature and pressure. B is completely evacuated. The entire system is thermally insulated. The stop cock is suddenly opened. The process is :a)isochoricb)isobaricc)isothermald)adiabaticCorrect answer is option 'D'. Can you explain this answer?
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