A sample of gas occupies 280 mL when the pressure is 560.00 mm Hg . If the temperature remains constant , what is the new pressure if the volume changes to 560.0 mL?

Respuesta :

Answer : The new pressure if the volume changes to 560.0 mL is, 280 mmHg

Explanation :

According to the Boyle's, law, the pressure of the gas is inversely proportional to the volume of gas at constant temperature and moles of gas.

[tex]P\propto \frac{1}{V}[/tex]

or,

[tex]P_1V_1=P_2V_2[/tex]

where,

[tex]P_1[/tex] = initial pressure = 560.00 mmHg

[tex]P_2[/tex] = final pressure = ?

[tex]V_1[/tex] = initial volume = 280 mL

[tex]V_2[/tex] = final volume = 560.0 mL

Now put all the given values in the above formula, we get:

[tex]560.00mmHg\times 280 mL=P_2\times 560.0 mL[/tex]

[tex]P_2=280mmHg[/tex]

Therefore, the new pressure if the volume changes to 560.0 mL is, 280 mmHg