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

Step-by-step 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,

`(P_(1))/(T_(2))=(P_(2))/(T_(1))`

`T_(2)=(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)=(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.