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A gas sample with an initial volume of V and pressure P if the pressure is reduced to 2/3 it's initial, find it volume?
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A gas sample with an initial volume of V and pressure P if the pressur...
Understanding Gas Laws
To determine the new volume of a gas sample when its pressure is reduced, we can use Boyle's Law. This law states that, for a given mass of gas at constant temperature, the product of pressure and volume is constant.
Boyle's Law Formula
The mathematical representation of Boyle's Law is:
- P1 * V1 = P2 * V2
Where:
- P1 = Initial pressure
- V1 = Initial volume
- P2 = Final pressure
- V2 = Final volume
Given Conditions
- Initial Volume (V1) = V
- Initial Pressure (P1) = P
- Final Pressure (P2) = (2/3) * P
Finding the Final Volume (V2)
Now, substituting the known values into the formula:
- P * V = (2/3) * P * V2
Since pressure P is common on both sides, it can be canceled out (provided P ≠ 0):
- V = (2/3) * V2
To find V2:
- V2 = (3/2) * V
Conclusion
Thus, when the pressure of the gas is reduced to 2/3 of its initial value, the new volume V2 can be calculated as:
- V2 = (3/2) * V
This means that the volume of the gas increases by a factor of 1.5 when the pressure is decreased to two-thirds of its original value.
To determine the new volume of a gas sample when its pressure is reduced, we can use Boyle's Law. This law states that, for a given mass of gas at constant temperature, the product of pressure and volume is constant.
Boyle's Law Formula
The mathematical representation of Boyle's Law is:
- P1 * V1 = P2 * V2
Where:
- P1 = Initial pressure
- V1 = Initial volume
- P2 = Final pressure
- V2 = Final volume
Given Conditions
- Initial Volume (V1) = V
- Initial Pressure (P1) = P
- Final Pressure (P2) = (2/3) * P
Finding the Final Volume (V2)
Now, substituting the known values into the formula:
- P * V = (2/3) * P * V2
Since pressure P is common on both sides, it can be canceled out (provided P ≠ 0):
- V = (2/3) * V2
To find V2:
- V2 = (3/2) * V
Conclusion
Thus, when the pressure of the gas is reduced to 2/3 of its initial value, the new volume V2 can be calculated as:
- V2 = (3/2) * V
This means that the volume of the gas increases by a factor of 1.5 when the pressure is decreased to two-thirds of its original value.
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A gas sample with an initial volume of V and pressure P if the pressure is reduced to 2/3 it's initial, find it volume?
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A gas sample with an initial volume of V and pressure P if the pressure is reduced to 2/3 it's initial, find it volume? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A gas sample with an initial volume of V and pressure P if the pressure is reduced to 2/3 it's initial, find it volume? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A gas sample with an initial volume of V and pressure P if the pressure is reduced to 2/3 it's initial, find it volume?.
A gas sample with an initial volume of V and pressure P if the pressure is reduced to 2/3 it's initial, find it volume? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A gas sample with an initial volume of V and pressure P if the pressure is reduced to 2/3 it's initial, find it volume? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A gas sample with an initial volume of V and pressure P if the pressure is reduced to 2/3 it's initial, find it volume?.
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