Answer: The new volume of the air in the syringe is 7.3 mL.
Explanation:
Given:
= 2.0 mL,
= 1.02 atm, 
= ?,
= 1.27 atm, 
Formula used to calculate the new volume in syringe is as follows.

Substitute the values into above formula as follows.

Thus, we can conclude that the new volume of the air in the syringe is 7.3 mL.