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Sagot :
Answer:
[tex]114.53\text{ L}[/tex]Explanation:
Here, we want to get the volume of the gas inside the balloon
Mathematically, from the ideal gas equation:
[tex]\begin{gathered} PV\text{ = nRT} \\ V\text{ = }\frac{nRT}{P} \end{gathered}[/tex]where:
P is the pressure which is given as 0.8 atm
V is the volume which we want to calculate
R is the molar gas constant which is 0.0821 L.atm/mol.K
T is the temperature in Celsius which we can convert to K by adding 273 (273 + 37 = 310 K)
n is the number of moles which is 3.6
Substituting the values, we have it that:
[tex]\begin{gathered} \text{ V = }\frac{3.6\text{ }\times0.0821\times310}{0.8} \\ \\ V\text{ = 114.53 L} \end{gathered}[/tex]
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