for this question we use Boyle's law which states the relationship between pressure and volume. At constant temperature, pressure of a gas is inversely proportional to volume of a gas.
PV = k
where P-pressure, V - volume and k - constant
Therefore P1V1 = P2V2
where parameters for 1st instance are on the left side and parameters for the 2nd instance are on the right side.
183 ml x 310 mmHg = 90.6 ml x P2
P2 = 183 x 310 / 90.6
= 626.16 mmHg
pressure required is 626.16 mmHg
