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In order to increase the volume of a gas by 10%, the pressure of the gas should be
  • a)
    decreased by 10%
  • b)
    decreased by 1%
  • c)
    increased by 10%
  • d)
    increased by 1%
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
In order to increase the volume of a gas by 10%, the pressure of the g...
According to Boyle's law,
pV = Constant
Or, p1V1 = p2V2
If V2 = V1 + V1 x 10/100 = 1.1 V1
P2 = p1V1/V2 = 0.9 p1
The pressure should be decreased by 10%.
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Community Answer
In order to increase the volume of a gas by 10%, the pressure of the g...
Explanation:

The relationship between volume, pressure, and temperature of a gas is given by the Ideal Gas Law:

PV = nRT

where P is pressure, V is volume, n is the number of moles of gas, R is the gas constant, and T is the temperature.

To increase the volume of a gas by 10%, we can assume that the temperature and the number of moles of the gas remain constant. Therefore, we can rearrange the Ideal Gas Law to solve for the new pressure:

P1V1 = P2V2

where V1 is the initial volume, V2 is the new volume (10% larger than V1), and P1 and P2 are the initial and new pressures, respectively.

Substituting the values into the equation gives:

P1V1 = P2V2
P1V1 = P2(1.1V1)
P2 = P1V1/(1.1V1)

Simplifying the equation yields:

P2 = P1/1.1

Therefore, to increase the volume of a gas by 10%, we need to decrease the pressure of the gas by 10% (which is equivalent to dividing the pressure by 1.1).

Therefore, the correct answer is option 'A', i.e., the pressure of the gas should be decreased by 10%.
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In order to increase the volume of a gas by 10%, the pressure of the gas should bea)decreased by 10%b)decreased by 1%c)increased by 10%d)increased by 1%Correct answer is option 'A'. Can you explain this answer?
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