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The temperature of a gas at pressure p and volume V is 27 degree Celsius keeping it volume constant if its temperature is raised to 927 degree Celsius then its pressure will be?
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The temperature of a gas at pressure p and volume V is 27 degree Celsi...
Understanding the Problem
When a gas is heated at constant volume, its pressure changes according to Gay-Lussac's law, which states that the pressure of a gas is directly proportional to its absolute temperature (in Kelvin).
Initial Conditions
- Initial Temperature (T1) = 27°C = 300 K (converted to Kelvin)
- Initial Pressure (P1) = p
- Final Temperature (T2) = 927°C = 1200 K (converted to Kelvin)
Applying Gay-Lussac's Law
The relationship can be expressed as:
- P1/T1 = P2/T2
Where:
- P2 is the final pressure we need to find.
Calculating Final Pressure
1. Rearranging the formula gives us:
P2 = P1 * (T2/T1)
2. Substituting the values:
P2 = p * (1200 K / 300 K)
3. Simplifying the expression:
P2 = p * 4
Conclusion
The final pressure after raising the temperature to 927°C while keeping the volume constant will be:
- Final Pressure (P2) = 4p
Thus, the pressure of the gas will quadruple when the temperature is increased from 27°C to 927°C at constant volume.
When a gas is heated at constant volume, its pressure changes according to Gay-Lussac's law, which states that the pressure of a gas is directly proportional to its absolute temperature (in Kelvin).
Initial Conditions
- Initial Temperature (T1) = 27°C = 300 K (converted to Kelvin)
- Initial Pressure (P1) = p
- Final Temperature (T2) = 927°C = 1200 K (converted to Kelvin)
Applying Gay-Lussac's Law
The relationship can be expressed as:
- P1/T1 = P2/T2
Where:
- P2 is the final pressure we need to find.
Calculating Final Pressure
1. Rearranging the formula gives us:
P2 = P1 * (T2/T1)
2. Substituting the values:
P2 = p * (1200 K / 300 K)
3. Simplifying the expression:
P2 = p * 4
Conclusion
The final pressure after raising the temperature to 927°C while keeping the volume constant will be:
- Final Pressure (P2) = 4p
Thus, the pressure of the gas will quadruple when the temperature is increased from 27°C to 927°C at constant volume.
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The temperature of a gas at pressure p and volume V is 27 degree Celsius keeping it volume constant if its temperature is raised to 927 degree Celsius then its pressure will be?
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The temperature of a gas at pressure p and volume V is 27 degree Celsius keeping it volume constant if its temperature is raised to 927 degree Celsius then its pressure will be? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The temperature of a gas at pressure p and volume V is 27 degree Celsius keeping it volume constant if its temperature is raised to 927 degree Celsius then its pressure will be? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The temperature of a gas at pressure p and volume V is 27 degree Celsius keeping it volume constant if its temperature is raised to 927 degree Celsius then its pressure will be?.
The temperature of a gas at pressure p and volume V is 27 degree Celsius keeping it volume constant if its temperature is raised to 927 degree Celsius then its pressure will be? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The temperature of a gas at pressure p and volume V is 27 degree Celsius keeping it volume constant if its temperature is raised to 927 degree Celsius then its pressure will be? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The temperature of a gas at pressure p and volume V is 27 degree Celsius keeping it volume constant if its temperature is raised to 927 degree Celsius then its pressure will be?.
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