Answer:
[tex]0.365\text{ L or 365 mL}[/tex]Explanation:
Here, we want to get the volume in liters occupied by the gas
From the ideal gas law:
[tex]PV\text{ = nRT}[/tex]This means:
[tex]V\text{ = }\frac{nRT}{P}[/tex]where:
n is the number of moles. To get this, we have to divide the mass given by the molar mass of the gas
The number of moles is as follows:
[tex]\begin{gathered} mass\text{ = 1.21 g} \\ molar\text{ mass = 85.5 g/mol} \\ The\text{ number of moles:} \\ n\text{ = }\frac{1.21}{85.5}\text{ = 0.014152 mol} \end{gathered}[/tex]R is the molar gas constant which is 0.0821 L.atm/mol.k
T is the temperature in Kelvin. We calculate this by adding 273.15 K to the temperature in Celsius (273.15 + 35 = 308.15 K)
P is the pressure of the gas which is 0.980 atm
V is the volume that we want to calculate
Substituting the values, we have it that:
[tex]\begin{gathered} V\text{ = }\frac{0.014152\times0.0821\times308.15}{0.980}\text{ = 0.365 L} \\ or\text{ 365 mL} \end{gathered}[/tex]