New volume of balloon is 32.9 mL.
The balloon can hold 0.134 moles of gas.
Explanation:
It is given by Boyle's law that, in gases pressure and volume are in inverse relationship, when the temperature remains constant.
P₁V₁= P₂V₂
Now we have to find the volume, V₂ as,
V₂ = P₁V₁ / P2
P₁ = 126.625 kPa = 1.25 atm
Plugin the given values as,
V₂= 1.25 atm × 2500 ml / 95 atm = 32.9 ml
Now we have to find the number of moles for the new volume and pressure and temperatue is 285 K.
PV = nRT
n = PV/RT
= 95 atm × 0.0329 L / 0.08206 L atm mol⁻¹ K⁻¹×285 K
= 0.134 moles.
