Respuesta :
The volume occupied by this oxygen gas is equal to 10.0 Liters.
Given the following data:
- Mass of oxygen gas = 4.8 grams
- Pressure = 0.50 atm
- Temperature = 133°C to Kelvin = [tex]273 +133=406\;K[/tex]
- Molar mass of oxygen gas = [tex]2 \times 15.999[/tex] = 31.998 g/mol.
Scientific data:
- Ideal gas constant, R = 0.0821 L⋅atm/mol⋅K
To determine the volume occupied by this oxygen gas:
First of all, we would calculate the number of moles of oxygen gas;
[tex]Number\;of\;moles = \frac{Mass}{molar\;mass}\\\\Number\;of\;moles = \frac{4.8}{31.998 }[/tex]
Number of moles = 0.15 moles.
Now, we can determine the volume by using the ideal gas law equation;
[tex]V = \frac{nRT}{P}[/tex]
Where;
- P is the pressure.
- V is the volume.
- n is the number of moles of a gas.
- R is the ideal gas constant.
- T is the temperature.
Substituting the given parameters into the formula, we have;
[tex]V =\frac{0.15 \times 0.0821 \times 406}{0.50} \\\\V =\frac{4.99989}{0.50}[/tex]
Volume, V = 9.9998 ≈ 10.0 Liters.
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