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During an experiment, the pressure of a fixed mass of gas in

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During an experiment, the pressure of a fixed mass of gas in [#permalink] New post 11 Jun 2019, 09:19
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During an experiment, the pressure of a fixed mass of gas increased from 40 pounds per square inch (psi) to 50 psi. Throughout the experiment, the pressure, P psi, and the volume, V cubic inches, of the gas varied in such a way that the value of the product PV was constant.

Quantity A
Quantity B
The volume of the gas when the pressure was 40 psi
1.2 times the volume of the gas when pressure was 50 psi


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.




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Question: 4
Page: 81
[Reveal] Spoiler: OA

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Re: During an experiment, the pressure of a fixed mass of gas in [#permalink] New post 11 Jun 2019, 15:52
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Carcass wrote:
During an experiment, the pressure of a fixed mass of gas increased from 40 pounds per square inch (psi) to 50 psi. Throughout the experiment, the pressure, P psi, and the volume, V cubic inches, of the gas varied in such a way that the value of the product PV was constant.

Quantity A
Quantity B
The volume of the gas when the pressure was 40 psi
1.2 times the volume of the gas when pressure was 50 psi



We're told that the value of the product PV was constant

For Quantity A, let's say the volume of gas is k cubic inches
We know the pressure is 40 psi
So, PV = (40)(k) = 40k
------------------------------

For Quantity B, we're told the pressure is 50 psi
Since PV is constant, we know that: (volume of gas)(50) = 40k
Solve: volume of gas = 40k/50 = 0.8k

Quantity B asks for 1.2 times the volume of gas.
We get: (1.2)(0.8k) = 0.96k
-------------------------------

We have:
QUANTITY A: k
QUANTITY B: 0.96k

Answer: A

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Brent
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Re: During an experiment, the pressure of a fixed mass of gas in   [#permalink] 11 Jun 2019, 15:52
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