Question

in a container filled with gas at a constant temperature, the volume is 183 mL and the pressure is at 310 mm Hg. The desired new volume is 90.0 mL. What is the required new pressure? 53 mm Hg 150 mm Hg 330 mm Hg 630 mm Hg

Answer 1

630 mmHg is the required new pressure.

Step-by-step explanation:

At constant temperature;

Initial volume of the gas,
`V_1 = 183 mL`

Initial pressure exerted by the gas,
`P_1= 310 mmHg`

Final volume of the gas ,
`V_2= 90.0 mL`

Final pressure exerted by the gas ,
`P_2=?`

At constant temperature pressure and volume of the gas varies indirectly.

`P_1V_1=P_2V_2` (Boyle's Law)

`P_2=(310 mmHg* 183 mL)/(90.0 mL)=630.33 mmhg\approx 630 mmHg`

630 mmHg is the required new pressure.