Respuesta :

Answer:

[tex]4.35\text{ L}[/tex]

Explanation:

Here, we want to get the volume occupied at the new temperature

According to Boyle's law, volume and pressure are inversely proportional

Thus, mathematically:

[tex]P_1V_1\text{ = P}_2V_2[/tex]

P1 is the initial pressure which is 735 mmHg

V1 is the initial volume which is 4.5 L

P2 is the final pressure which is 1 atm( 760 mmHg)

V2 is the final volume that we want to calculate

Substituting the values, we have it that:

[tex]\begin{gathered} 735\text{ }\times\text{ 4.5 = 756 }\times\text{ V}_2 \\ \\ V_2\text{ = }\frac{735\text{ }\times4.5}{760\text{ }}\text{ = 4.35 L} \end{gathered}[/tex]