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
