Answer:
630 mmHg is the required new pressure.
Explanation:
At constant temperature;
Initial volume of the gas,[tex]V_1 = 183 mL[/tex]
Initial pressure exerted by the gas, [tex]P_1= 310 mmHg[/tex]
Final volume of the gas ,[tex]V_2= 90.0 mL[/tex]
Final pressure exerted by the gas ,[tex]P_2=?[/tex]
At constant temperature pressure and volume of the gas varies indirectly.
[tex]P_1V_1=P_2V_2[/tex] (Boyle's Law)
[tex]P_2=\frac{310 mmHg\times 183 mL}{90.0 mL}=630.33 mmhg\approx 630 mmHg[/tex]
630 mmHg is the required new pressure.