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Ideal Gas Equation

A box contain...

Question

A box contains two compartments of equal volume separated by a divider. The two compartments each contain a random sample of n moles of a certain gas, but the pressure in compartment A is twice the pressure in compartment B . Which of the following statements is true?

A

The temperature in A is twice the temperature in B

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B

The temperature in B is twice the temperature in A

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C

The value of the ideal gas constant, R , in A is twice the value of R in B

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D

The temperature in A is four times as great as the temperature in B

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E

The gas in A is a heavier isotope than the gas in B

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Solution

The correct option is B The temperature in A is twice the temperature in B
According to the ideal gas law, temperature is directly proportional to volume and pressure. Since the volume of the container is constant, that means that doubling the temperature will double the pressure.
R is a constant: it doesnt vary under different circumstances, so C is wrong. Also, we are looking at a random sample of the gas, so there wont be a heavier isotope in one or the other of the containers: E is also wrong

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