A toy balloon filled with air has an internal pressure of 1.25 atm and avolume of 2.50 L. If I take the balloon to the bottom of the ocean wherethe pressure is 95 atmospheres, what will the new volume of the balloonbe? How many moles of gas does the balloon hold? (Assume T 285 K)

A toy balloon filled with air has an internal pressure of 1.25 atm and avolume of 2.50 L. If I take the balloon to the bottom of the ocean wherethe pressure is class=

Verified Answer :

Ideal Gas Law
 Given: P1= 1.25 atm   P2= 95 atm
            V1= 2.50 L
 
 Unknown: V2=?
 
Formula: V=nRT/P; n = RT / PV

Solution: n = (0.0821 L x atm / K x mol) (285K) / (1.25 atm) ( 2.50L)
   
                  = 23.40 / 3.125

Answer: n = 7.49 moles of gas the balloon holds