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Balloons of 4L capacity are to be filled with hydrogen at a pressure of 1 atm and 27 degree Celsius from an 8L cylinder containing hydrogen at 10 atm of the same temperature. The number of ballons that can be filled?. a) 20 b) 18 c) 40?
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Given data:
- Capacity of each balloon = 4L
- Pressure of hydrogen in the balloon = 1 atm
- Temperature of hydrogen in the balloon = 27°C
- Capacity of the hydrogen cylinder = 8L
- Pressure of hydrogen in the cylinder = 10 atm
- Temperature of hydrogen in the cylinder = 27°C
Step 1: Calculate the number of moles of hydrogen in the cylinder.
Using the ideal gas law equation: PV = nRT
Where:
P = pressure (in atm)
V = volume (in L)
n = number of moles
R = ideal gas constant (0.0821 L.atm/mol.K)
T = temperature (in Kelvin)
Rearranging the equation to solve for the number of moles:
n = PV / RT
Substituting the given values:
n = (10 atm) * (8L) / (0.0821 L.atm/mol.K * 300K)
n ≈ 3.25 moles
Step 2: Calculate the number of moles of hydrogen required to fill one balloon.
Since the volume of each balloon is 4L, the number of moles of hydrogen required can be calculated using the ideal gas law:
n = PV / RT
Substituting the given values:
n = (1 atm) * (4L) / (0.0821 L.atm/mol.K * 300K)
n ≈ 0.0556 moles
Step 3: Calculate the number of balloons that can be filled.
The number of balloons that can be filled is the total number of moles in the cylinder divided by the number of moles required for each balloon:
Number of balloons = (Number of moles in cylinder) / (Number of moles per balloon)
Number of balloons ≈ 3.25 moles / 0.0556 moles
Number of balloons ≈ 58.51
Since we cannot have a fraction of a balloon, we round down to the nearest whole number. Therefore, the number of balloons that can be filled is 58.
Answer:
The number of balloons that can be filled is 58.
- Capacity of each balloon = 4L
- Pressure of hydrogen in the balloon = 1 atm
- Temperature of hydrogen in the balloon = 27°C
- Capacity of the hydrogen cylinder = 8L
- Pressure of hydrogen in the cylinder = 10 atm
- Temperature of hydrogen in the cylinder = 27°C
Step 1: Calculate the number of moles of hydrogen in the cylinder.
Using the ideal gas law equation: PV = nRT
Where:
P = pressure (in atm)
V = volume (in L)
n = number of moles
R = ideal gas constant (0.0821 L.atm/mol.K)
T = temperature (in Kelvin)
Rearranging the equation to solve for the number of moles:
n = PV / RT
Substituting the given values:
n = (10 atm) * (8L) / (0.0821 L.atm/mol.K * 300K)
n ≈ 3.25 moles
Step 2: Calculate the number of moles of hydrogen required to fill one balloon.
Since the volume of each balloon is 4L, the number of moles of hydrogen required can be calculated using the ideal gas law:
n = PV / RT
Substituting the given values:
n = (1 atm) * (4L) / (0.0821 L.atm/mol.K * 300K)
n ≈ 0.0556 moles
Step 3: Calculate the number of balloons that can be filled.
The number of balloons that can be filled is the total number of moles in the cylinder divided by the number of moles required for each balloon:
Number of balloons = (Number of moles in cylinder) / (Number of moles per balloon)
Number of balloons ≈ 3.25 moles / 0.0556 moles
Number of balloons ≈ 58.51
Since we cannot have a fraction of a balloon, we round down to the nearest whole number. Therefore, the number of balloons that can be filled is 58.
Answer:
The number of balloons that can be filled is 58.
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Balloons of 4L capacity are to be filled with hydrogen at a pressure of 1 atm and 27 degree Celsius from an 8L cylinder containing hydrogen at 10 atm of the same temperature. The number of ballons that can be filled?. a) 20 b) 18 c) 40?
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Balloons of 4L capacity are to be filled with hydrogen at a pressure of 1 atm and 27 degree Celsius from an 8L cylinder containing hydrogen at 10 atm of the same temperature. The number of ballons that can be filled?. a) 20 b) 18 c) 40? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Balloons of 4L capacity are to be filled with hydrogen at a pressure of 1 atm and 27 degree Celsius from an 8L cylinder containing hydrogen at 10 atm of the same temperature. The number of ballons that can be filled?. a) 20 b) 18 c) 40? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Balloons of 4L capacity are to be filled with hydrogen at a pressure of 1 atm and 27 degree Celsius from an 8L cylinder containing hydrogen at 10 atm of the same temperature. The number of ballons that can be filled?. a) 20 b) 18 c) 40?.
Balloons of 4L capacity are to be filled with hydrogen at a pressure of 1 atm and 27 degree Celsius from an 8L cylinder containing hydrogen at 10 atm of the same temperature. The number of ballons that can be filled?. a) 20 b) 18 c) 40? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Balloons of 4L capacity are to be filled with hydrogen at a pressure of 1 atm and 27 degree Celsius from an 8L cylinder containing hydrogen at 10 atm of the same temperature. The number of ballons that can be filled?. a) 20 b) 18 c) 40? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Balloons of 4L capacity are to be filled with hydrogen at a pressure of 1 atm and 27 degree Celsius from an 8L cylinder containing hydrogen at 10 atm of the same temperature. The number of ballons that can be filled?. a) 20 b) 18 c) 40?.
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