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An ideal gas of 10 moles occupies _________ volume.
- a)22.4 liters
- b)2.24 liters
- c)224 liters
- d)2240
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
An ideal gas of 10 moles occupies _________ volume.a)22.4 litersb)2.24...
As we know that the number of moles is proportional to the volume as per Avogadro’s law and we also know that an ideal gas at STP occupies 22.4 liters of volume. So here 10 moles of gas occupies 224 liters of volume.
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An ideal gas of 10 moles occupies _________ volume.a)22.4 litersb)2.24...
Calculation:
To determine the volume occupied by an ideal gas of 10 moles, we can use the ideal gas law formula which states:
PV = nRT
Where:
P = Pressure
V = Volume
n = Number of moles
R = Ideal gas constant
T = Temperature
Given that the gas is ideal, we can assume that the pressure and temperature are constant. Therefore, we can rearrange the formula to solve for volume:
V = (nRT)/P
Substitute the given values:
n = 10 moles
R = Ideal gas constant = 0.0821 L.atm/mol.K
T = Assuming room temperature for simplicity, let's say 298 K
P = Assume a standard pressure of 1 atm
V = (10 moles * 0.0821 L.atm/mol.K * 298 K) / 1 atm
V = 244.18 liters
Therefore, the volume occupied by 10 moles of an ideal gas at standard pressure and room temperature would be approximately 224 liters, which corresponds to option 'C'.
To determine the volume occupied by an ideal gas of 10 moles, we can use the ideal gas law formula which states:
PV = nRT
Where:
P = Pressure
V = Volume
n = Number of moles
R = Ideal gas constant
T = Temperature
Given that the gas is ideal, we can assume that the pressure and temperature are constant. Therefore, we can rearrange the formula to solve for volume:
V = (nRT)/P
Substitute the given values:
n = 10 moles
R = Ideal gas constant = 0.0821 L.atm/mol.K
T = Assuming room temperature for simplicity, let's say 298 K
P = Assume a standard pressure of 1 atm
V = (10 moles * 0.0821 L.atm/mol.K * 298 K) / 1 atm
V = 244.18 liters
Therefore, the volume occupied by 10 moles of an ideal gas at standard pressure and room temperature would be approximately 224 liters, which corresponds to option 'C'.
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An ideal gas of 10 moles occupies _________ volume.a)22.4 litersb)2.24 litersc)224 litersd)2240Correct answer is option 'C'. Can you explain this answer?
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