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
