Question

If the pressure of a gas sample is quadrupled and the absolute temperature is doubled. True or False

Answer 1

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,

                     $P_{1} T_{1}=P_{2} T_{2}$

From this, we get,

                     $\frac{P_{1}}{T_{2}}=\frac{P_{2}}{T_{1}}$

                     $T_{2}=\frac{P_{1} T_{1}}{P_{2}}$

So, according to given statement, we have $P_{2} = 4 P_{1}$

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

                     $T_{2}=\frac{P_{1} T_{1}}{4 P_{1}}$

Hence, we get,

                      $T_{1}=4 T_{2}$

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.