Question

A fire breaks out and increases the Kelvin temperature of a cylinder of compressed gas by a factor of 2.4. What is the final pressure of the gas relative to its initial pressure?

Answer 1

P(final) is 2.4 times P(initial).

Step-by-step explanation:

Here we can assume that the cylinder did not break and it's volume and number of moles of gas present in the cylinder remains constant.

Given the temperature increases by a factor of 2.4. Let us assume that the initial temperature be
`T_(1)` and the final temperature be
`T_(2)`.

Given that
`T_(2)=2.4* T_(1)`

Now we know the ideal gas equation is PV=nRT

here V=constant , n=constant , R=gas constant(which is constant).

`(P)/(T)=constant`

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

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

`P_(2)=((2.4T_(1) )/(T_(1) ) )P_(1)`

`P_(2)=2.4* P_(1)`