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At a constant temperature, the pressure of a gas is given as one atmospheric pressure and 5 liters. When the atmospheric pressure is increased to 2 atm, then what is the volume of the gas?
  • a)
    1 liter
  • b)
    5 liters
  • c)
    10 liters
  • d)
    2.5 liters
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
At a constant temperature, the pressure of a gas is given as one atmos...
As we know that, Boyle’s law states at a constant temperature, the pressure of a gas is inversely proportional to its volume so P1V1 equals to P2V2 by substituting P1 as one atmospheric pressure V1 as 5 liters P1 as to atmospheric pressure we get V2 as 5/2 that is 2.5 liters.
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Most Upvoted Answer
At a constant temperature, the pressure of a gas is given as one atmos...
Given:
- Initial pressure of the gas = 1 atm
- Initial volume of the gas = 5 liters
- Final pressure of the gas = 2 atm

To find:
- Final volume of the gas

Solution:
According to Boyle's Law, the pressure and volume of a gas are inversely proportional at constant temperature. Mathematically, this can be represented as:

P1 × V1 = P2 × V2

where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.

We are given P1 = 1 atm, V1 = 5 liters, and P2 = 2 atm. We need to find V2.

Substituting the given values into the equation, we get:

1 atm × 5 liters = 2 atm × V2

Simplifying the equation, we have:

5 liters = 2 atm × V2

To find V2, we can rearrange the equation:

V2 = 5 liters / 2 atm

V2 = 2.5 liters

Therefore, the final volume of the gas when the atmospheric pressure is increased to 2 atm is 2.5 liters. Hence, option D (2.5 liters) is the correct answer.
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At a constant temperature, the pressure of a gas is given as one atmospheric pressure and 5 liters. When the atmospheric pressure is increased to 2 atm, then what is the volume of the gas?a)1 literb)5 litersc)10 litersd)2.5 litersCorrect answer is option 'D'. Can you explain this answer?
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