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

Answer:

0.9 L

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

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

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;

$\frac{1.5*2.4}{273}$ = $\frac{4.5*x}{313}$

Solving for x gives

=> x = $\frac{1.5 * 2.4 * 313}{273 * 4.5}$

=> x = 0.9L

Therefore the final volume of the gas is 0.9L