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A 10 l bulb contains an ideal gas of molecular mass 81 at 27degrees Celsius .some gas is removed from the bulb until the pressure of gas decreased by 0.82 atm.the mass of gas removed is
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A 10 l bulb contains an ideal gas of molecular mass 81 at 27degrees Ce...
Given Data
- Volume of the bulb (V) = 10 L
- Molecular mass of the gas (M) = 81 g/mol
- Initial temperature (T) = 27°C = 300 K
- Pressure decrease (ΔP) = 0.82 atm
Calculating Initial Pressure
Using the Ideal Gas Law:
PV = nRT
Where:
- R = 0.0821 L·atm/(K·mol)
Rearranging for n (number of moles):
n = PV / RT
Assuming an initial pressure (P1):
- P1 = nRT / V
Finding Moles Before and After Gas Removal
1. Initial Moles (n1):
- n1 = (P1 * V) / (R * T)
2. Final Pressure (P2):
- P2 = P1 - ΔP = P1 - 0.82 atm
3. Final Moles (n2):
- n2 = (P2 * V) / (R * T)
Calculating Moles Removed
- Moles removed (n_removed) = n1 - n2
Mass of Gas Removed
- Mass removed = n_removed * M
Final Calculation Steps
1. Calculate n1 using an assumed initial pressure.
2. Calculate n2 using P2.
3. Determine n_removed.
4. Multiply n_removed by the molecular mass to find the mass of gas removed.
Conclusion
By following these calculations, you can accurately determine the mass of the gas removed from the bulb. This demonstrates the application of the Ideal Gas Law in practical scenarios involving gas behavior under changing conditions.
- Volume of the bulb (V) = 10 L
- Molecular mass of the gas (M) = 81 g/mol
- Initial temperature (T) = 27°C = 300 K
- Pressure decrease (ΔP) = 0.82 atm
Calculating Initial Pressure
Using the Ideal Gas Law:
PV = nRT
Where:
- R = 0.0821 L·atm/(K·mol)
Rearranging for n (number of moles):
n = PV / RT
Assuming an initial pressure (P1):
- P1 = nRT / V
Finding Moles Before and After Gas Removal
1. Initial Moles (n1):
- n1 = (P1 * V) / (R * T)
2. Final Pressure (P2):
- P2 = P1 - ΔP = P1 - 0.82 atm
3. Final Moles (n2):
- n2 = (P2 * V) / (R * T)
Calculating Moles Removed
- Moles removed (n_removed) = n1 - n2
Mass of Gas Removed
- Mass removed = n_removed * M
Final Calculation Steps
1. Calculate n1 using an assumed initial pressure.
2. Calculate n2 using P2.
3. Determine n_removed.
4. Multiply n_removed by the molecular mass to find the mass of gas removed.
Conclusion
By following these calculations, you can accurately determine the mass of the gas removed from the bulb. This demonstrates the application of the Ideal Gas Law in practical scenarios involving gas behavior under changing conditions.
Community Answer
A 10 l bulb contains an ideal gas of molecular mass 81 at 27degrees Ce...
50mg
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A 10 l bulb contains an ideal gas of molecular mass 81 at 27degrees Celsius .some gas is removed from the bulb until the pressure of gas decreased by 0.82 atm.the mass of gas removed is
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A 10 l bulb contains an ideal gas of molecular mass 81 at 27degrees Celsius .some gas is removed from the bulb until the pressure of gas decreased by 0.82 atm.the mass of gas removed is for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A 10 l bulb contains an ideal gas of molecular mass 81 at 27degrees Celsius .some gas is removed from the bulb until the pressure of gas decreased by 0.82 atm.the mass of gas removed is covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 10 l bulb contains an ideal gas of molecular mass 81 at 27degrees Celsius .some gas is removed from the bulb until the pressure of gas decreased by 0.82 atm.the mass of gas removed is.
A 10 l bulb contains an ideal gas of molecular mass 81 at 27degrees Celsius .some gas is removed from the bulb until the pressure of gas decreased by 0.82 atm.the mass of gas removed is for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A 10 l bulb contains an ideal gas of molecular mass 81 at 27degrees Celsius .some gas is removed from the bulb until the pressure of gas decreased by 0.82 atm.the mass of gas removed is covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 10 l bulb contains an ideal gas of molecular mass 81 at 27degrees Celsius .some gas is removed from the bulb until the pressure of gas decreased by 0.82 atm.the mass of gas removed is.
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