A gas occupies a volume of 584 mL at a pressure of 770 mm of Hg. When the pressure is changed, the volume becomes 603 mL If the temperature stays constant, what is the new pressure in mm of Hg?

Please help!!

Respuesta :

Answer:

[tex]P_2=795mmHg[/tex]

Explanation:

Hello there!

In this case, according to the given information, it turns out possible for us to calculate the final pressure by using the Boyle's law as an inversely proportional relationship in pressure to volume at constant temperature:

[tex]\frac{P_2}{V_2} =\frac{P_1}{V_1}[/tex]

Thus, we solve for our target, P2, to obtain:

[tex]P_2=\frac{P_1V_2}{V_1} =\frac{770mmHg*603mL}{584mL}\\\\P_2=795mmHg[/tex]

Regards!