Respuesta :

Answer: 160 torr

Explanation:

To calculate the new pressure, we use the equation given by Boyle's law. This law states that pressure is directly proportional to the volume of the gas at constant temperature.

The equation given by this law is:

[tex]P_1V_1=P_2V_2[/tex]

where,

[tex]P_1\text{ and }V_1[/tex] are initial pressure and volume.

[tex]P_2\text{ and }V_2[/tex] are final pressure and volume.

We are given:

[tex]P_1=400 torr\\V_1=200mL\\P_2=?\\V_2=500mL[/tex]

Putting values in above equation, we get:

[tex]400torr\times 200ml=P_2\times 500mL\\\\P_2=160torr[/tex]

Thus the pressure has changed to 160 torr