Question

a gas has an initial volume of 2.4 L at a pressure of 1.5 ATM and a temperature of 273 K the pressure of the gas is increased to 4.5 ATM and the temperature of a gas is increased to 313 K. What is the final volume of gas

Answer 1

The final volume of the gas is still 2.4 L, unless you also move it into a different jar or tank. A gas always fills whatever container it's in.

Answer 2

0.9 L

Step-by-step explanation:

Using the Combined Gas law which states that "the ratio of the product of the pressure and the volume, and the absolute temperature of a given gas is a constant".

Mathematically, the Combined gas law is given as

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

Where;

`P_(1)` is the initial pressure of the gas = 1.5 ATM

`V_(1)` is the initial volume of the gas = 2.4L

`T_(1)` is the initial temperature of the gas = 273K

`P_(2)` is the final pressure of the gas = 4.5 ATM

`V_(2)` is the final volume of the gas = ? (Let it be x)

`T_(2)` is the final temperature of the gas = 313K

Substituting the given values into the Combined gas law equation, we have;

`(1.5*2.4)/(273)` =
`(4.5*x)/(313)`

Solving for x gives

=> x =
`(1.5 * 2.4 * 313)/(273 * 4.5)`

=> x = 0.9L

Therefore the final volume of the gas is 0.9L