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In an adiabatic expansion of air (assume it is a mixture of nitrogen and oxygen) the volume increases by 5 percent, the percentage change in pressure is?
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In an adiabatic expansion of air (assume it is a mixture of nitrogen a...
I guess 5/ because... volume is directly proportional to pressure... and since the process is adiabatic.. the change in temperature is 0. this is just a blind guess. do let me know if this is wrong.
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In an adiabatic expansion of air (assume it is a mixture of nitrogen a...
Adiabatic Expansion of Air
Air, which is a mixture of nitrogen and oxygen, undergoes an adiabatic expansion when its volume increases without any heat exchange with the surroundings.
Percentage Change in Pressure
The percentage change in pressure during an adiabatic expansion can be calculated using the formula:
\[ \frac{\Delta P}{P} = \gamma \times \frac{\Delta V}{V} \]
where:
- \( \Delta P \) is the change in pressure
- \( P \) is the initial pressure
- \( \gamma \) is the adiabatic index (for air, it is approximately 1.4)
- \( \Delta V \) is the change in volume
- \( V \) is the initial volume
Given Data
In this case, the volume increases by 5 percent, so \( \frac{\Delta V}{V} = 0.05 \).
Calculating Percentage Change in Pressure
Substitute the given data into the formula:
\[ \frac{\Delta P}{P} = 1.4 \times 0.05 = 0.07 \]
Therefore, the percentage change in pressure during the adiabatic expansion of air is 7%. This means that the pressure of the air decreases by 7% as the volume increases by 5%.
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In an adiabatic expansion of air (assume it is a mixture of nitrogen and oxygen) the volume increases by 5 percent, the percentage change in pressure is?
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In an adiabatic expansion of air (assume it is a mixture of nitrogen and oxygen) the volume increases by 5 percent, the percentage change in pressure is? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In an adiabatic expansion of air (assume it is a mixture of nitrogen and oxygen) the volume increases by 5 percent, the percentage change in pressure is? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an adiabatic expansion of air (assume it is a mixture of nitrogen and oxygen) the volume increases by 5 percent, the percentage change in pressure is?.
In an adiabatic expansion of air (assume it is a mixture of nitrogen and oxygen) the volume increases by 5 percent, the percentage change in pressure is? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In an adiabatic expansion of air (assume it is a mixture of nitrogen and oxygen) the volume increases by 5 percent, the percentage change in pressure is? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an adiabatic expansion of air (assume it is a mixture of nitrogen and oxygen) the volume increases by 5 percent, the percentage change in pressure is?.
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