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A gas is compressed to half its original volume while its temperature remains constant. How does the pressure change?
- a)The pressure is halved
- b)The pressure doubles
- c)The pressure remains the same
- d)The pressure quadruples
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A gas is compressed to half its original volume while its temperature ...
According to Boyle's law, when the volume of a gas is halved at constant temperature, the pressure doubles.
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A gas is compressed to half its original volume while its temperature ...
Explanation:
Pressure is inversely proportional to volume when temperature is constant, according to Boyle's Law.
Initial Conditions:
- Initial volume = V
- Initial pressure = P
- Initial temperature = T
Final Conditions:
- Final volume = V/2 (compressed to half its original volume)
- Final pressure = ?
- Final temperature = T (constant)
Boyle's Law:
According to Boyle's Law, P1V1 = P2V2, where P1 and V1 are initial pressure and volume, and P2 and V2 are final pressure and volume.
Calculations:
- Substitute the initial and final conditions into Boyle's Law equation:
P * V = P2 * (V/2)
- Simplify the equation:
P = 2 * P2
Conclusion:
- The final pressure (P2) is twice the initial pressure (P).
- Therefore, the pressure doubles when a gas is compressed to half its original volume at constant temperature.
- So, the correct answer is option 'b) The pressure doubles'.
Pressure is inversely proportional to volume when temperature is constant, according to Boyle's Law.
Initial Conditions:
- Initial volume = V
- Initial pressure = P
- Initial temperature = T
Final Conditions:
- Final volume = V/2 (compressed to half its original volume)
- Final pressure = ?
- Final temperature = T (constant)
Boyle's Law:
According to Boyle's Law, P1V1 = P2V2, where P1 and V1 are initial pressure and volume, and P2 and V2 are final pressure and volume.
Calculations:
- Substitute the initial and final conditions into Boyle's Law equation:
P * V = P2 * (V/2)
- Simplify the equation:
P = 2 * P2
Conclusion:
- The final pressure (P2) is twice the initial pressure (P).
- Therefore, the pressure doubles when a gas is compressed to half its original volume at constant temperature.
- So, the correct answer is option 'b) The pressure doubles'.
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A gas is compressed to half its original volume while its temperature remains constant. How does the pressure change?a)The pressure is halvedb)The pressure doublesc)The pressure remains the samed)The pressure quadruplesCorrect answer is option 'B'. Can you explain this answer?
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