Respuesta :
Answer:
[tex]1,122\text{ mL}[/tex]Explanation:
Here, we want to get the volume that the gas will occupy
From the ideal gas law, we know that:
[tex]\begin{gathered} PV\text{ = nRT} \\ V\text{ = }\frac{nRT}{P} \end{gathered}[/tex]where:
n is the number of moles which is 0.205 mole
P is the pressure which is 3 atm
T is the temperature which is 200 K
V is the volume which is what we want to calculate
R is the molar gas constant which is 0.0821 L atm/mol.K
Substituting the values, we have it that:
[tex]V\text{ = }\frac{0.205\times0.0821\times200}{3}\text{ = 1.222 L}[/tex]We convert this to mL by multiply the L value by 1000
We have that as:
[tex]1.122\text{ }\times\text{ 1000 = 1,122 mL}[/tex]