Respuesta :

The given statement"If the pressure of a gas sample is quadrupled and the absolute temperature is doubled" is false.

Answer: Option B

Explanation:

As we know the direct relationship between Pressure and Temperature by the Gay-Lussac’s Law,

                     [tex]P_{1} T_{1}=P_{2} T_{2}[/tex]

From this, we get,

                     [tex]\frac{P_{1}}{T_{2}}=\frac{P_{2}}{T_{1}}[/tex]

                     [tex]T_{2}=\frac{P_{1} T_{1}}{P_{2}}[/tex]

So, according to given statement, we have [tex]P_{2} = 4 P_{1}[/tex]

Then from the above expression, we can find out the value of [tex]T_{2}[/tex] when pressure increased by 4 times of initial pressure as,

                     [tex]T_{2}=\frac{P_{1} T_{1}}{4 P_{1}}[/tex]

Hence, we get,

                      [tex]T_{1}=4 T_{2}[/tex]

Hence, from the above expression we can say that as we increase the pressure four times, the temperature does not get doubled. So, the given statement in the question is false.

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