The new volume be if the pressure inside the balloon was reduced to 58kpa is 2.58 L.
Ideal gas equation PV=nRT gives idea about the behavior of gases at different conditions and for this question the equation becomes:
P₁V₁ = P₂V₂, where
P₁ = initial pressure = 115.3 kpa
V₁ = initial volume = 1.3 L
P₂ = final pressure = 58 kpa
V₂ = final volume = ?
On putting all these values in the above equation, we get
V₂ = (115.3)(1.3) / (58) = 2.58 L
Hence resultant volume of gas is 2.58 L.
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