Calculate the volume (in litres) occupied by 0.153 mol of oxygen gas at a pressure of 105 kPa and a temperature of 28 oC.Question 23Answer383 L0.339 L23.8 L3.65 L0.114 L
Question
Calculate the volume (in litres) occupied by 0.153 mol of oxygen gas at a pressure of 105 kPa and a temperature of 28 oC.Question 23Answer383 L0.339 L23.8 L3.65 L0.114 L
Solution
To solve this problem, we can use the ideal gas law equation, which is PV = nRT.
Here, P = pressure = 105 kPa = 105,000 Pa (since 1 kPa = 1000 Pa) n = number of moles = 0.153 mol R = ideal gas constant = 8.314 J/(mol.K) T = temperature = 28°C = 301.15 K (since Kelvin = Celsius + 273.15)
We need to find V, the volume.
Rearranging the ideal gas law equation to solve for V, we get V = nRT/P.
Substituting the given values into the equation, we get:
V = (0.153 mol * 8.314 J/(mol.K) * 301.15 K) / 105,000 Pa
Solving this gives us V = 0.0369 m³.
Since 1 m³ = 1000 L, we convert the volume to litres by multiplying by 1000.
V = 0.0369 m³ * 1000 = 36.9 L.
So, the volume occupied by 0.153 mol of oxygen gas at a pressure of 105 kPa and a temperature of 28 oC is approximately 36.9 L.
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