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A given quality of gas occupies a volume of 228cm at a pressure of 750mm what is it volume in one atmospheric pressure?
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A given quality of gas occupies a volume of 228cm at a pressure of 750...
Understanding Gas Laws
The relationship between pressure and volume of a gas can be described by Boyle's Law, which states that the pressure of a gas is inversely proportional to its volume when the temperature is constant. Mathematically, this can be expressed as:
P1 * V1 = P2 * V2
Here:
- P1 = Initial pressure
- V1 = Initial volume
- P2 = Final pressure
- V2 = Final volume
Given Data
- Initial Volume (V1) = 228 cm³
- Initial Pressure (P1) = 750 mmHg
- Final Pressure (P2) = 1 atm
Conversion of Pressure
First, we need to convert the final pressure from atmospheres to mmHg since the initial pressure is given in mmHg.
- 1 atm = 760 mmHg
Thus, P2 = 760 mmHg.
Applying Boyle's Law
Now, we can substitute the values into Boyle's Law:
750 mmHg * 228 cm³ = 760 mmHg * V2
To find V2, rearranging gives:
V2 = (750 mmHg * 228 cm³) / 760 mmHg
Calculating V2:
- V2 ≈ (171000) / 760
- V2 ≈ 225 cm³
Final Volume
Therefore, the volume of the gas at one atmospheric pressure is approximately 225 cm³.
Conclusion
This demonstrates how gas behavior can be predicted using Boyle's Law, allowing for conversions of volume at varying pressures, which is essential in various applications, including those relevant to UPSC examinations.
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A given quality of gas occupies a volume of 228cm at a pressure of 750mm what is it volume in one atmospheric pressure?
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