Let's
assume that the gas in the balloon is an ideal gas.
We can use
combined gas law,
PV/T =
k (constant)
Where, P is
the pressure of the gas, V is volume of the gas and T is the temperature of the
gas in Kelvin.
For two
situations, we can use that as,
P₁V₁/T₁= P₂V₂/T₂
P₁
= 2.95 atm
V₁
= 7.456 L
T₁ = 379 K
P₂ = ?
V₂
= 4.782 L
T₂ = 212 K
By applying
the formula,
2.95 atm x 7.456 L / 379 K = P₂ x 4.782 L / 212 K
P₂
= (2.95 atm x 7.456 L x 212 K) / (379 K x 4.782 L)
P₂
= 2.57 atm
Hence, the answer is 2.57 atm.
