Answer : The final pressure will be, 666.2 mmHg
Explanation :
Boyle's Law : It is defined as the pressure of the gas is inversely proportional to the volume of the gas at constant temperature and number of moles.
[tex]P\propto \frac{1}{V}[/tex]
or,
[tex]P_1V_1=P_2V_2[/tex]
where,
[tex]P_1[/tex] = initial pressure = 790 mmHg
[tex]P_2[/tex] = final pressure = ?
[tex]V_1[/tex] = initial volume = 101.2 mL
[tex]V_2[/tex] = final volume = 120 mL
Now put all the given values in the above equation, we get:
[tex]790mmHg\times 101.2mL=P_2\times 120mL[/tex]
[tex]P_2=666.2mmHg[/tex]
Therefore, the final pressure will be, 666.2 mmHg