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When a person breaths his lungs can hold up to 5.5 litre of air at body temperature 37 degree Celsius and atmospheric pressure (1atm=101kPa).This air contains 21 percentage oxygen.Calculate the number of oxygen molecules in the lungs.?
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When a person breaths his lungs can hold up to 5.5 litre of air at bod...
Calculation of the number of oxygen molecules in the lungs:
Step 1: Calculate the number of moles of oxygen in the lungs.
Given:
- Volume of air in the lungs = 5.5 liters
- Percentage of oxygen in the air = 21%
To calculate the number of moles of oxygen, we need to convert the volume of air to the number of moles. This can be done using the Ideal Gas Law equation:
PV = nRT
Where:
P = pressure (in atm)
V = volume (in liters)
n = number of moles
R = ideal gas constant (0.0821 L.atm/mol.K)
T = temperature (in Kelvin)
Step 2: Convert the volume of air to the number of moles.
Given:
- Pressure (P) = 1 atm
- Volume (V) = 5.5 liters
- Temperature (T) = 37°C = 37 + 273 = 310 K
Using the Ideal Gas Law equation, we can rearrange it to solve for the number of moles:
n = PV / RT
Substituting the given values:
n = (1 atm) * (5.5 L) / (0.0821 L.atm/mol.K * 310 K)
Simplifying the equation:
n = 0.200 moles
Therefore, there are 0.200 moles of oxygen in the lungs.
Step 3: Calculate the number of oxygen molecules.
To calculate the number of oxygen molecules, we can use Avogadro's number, which is approximately 6.022 x 10^23 molecules/mol.
Number of oxygen molecules = 0.200 moles * (6.022 x 10^23 molecules/mol)
Simplifying the equation:
Number of oxygen molecules = 1.204 x 10^23 molecules
Therefore, there are approximately 1.204 x 10^23 oxygen molecules in the lungs.
Summary:
- The number of oxygen molecules in the lungs can be calculated by first determining the number of moles of oxygen using the Ideal Gas Law equation.
- Then, the number of moles can be converted to the number of molecules using Avogadro's number.
- In this case, there are approximately 1.204 x 10^23 oxygen molecules in the lungs.
Step 1: Calculate the number of moles of oxygen in the lungs.
Given:
- Volume of air in the lungs = 5.5 liters
- Percentage of oxygen in the air = 21%
To calculate the number of moles of oxygen, we need to convert the volume of air to the number of moles. This can be done using the Ideal Gas Law equation:
PV = nRT
Where:
P = pressure (in atm)
V = volume (in liters)
n = number of moles
R = ideal gas constant (0.0821 L.atm/mol.K)
T = temperature (in Kelvin)
Step 2: Convert the volume of air to the number of moles.
Given:
- Pressure (P) = 1 atm
- Volume (V) = 5.5 liters
- Temperature (T) = 37°C = 37 + 273 = 310 K
Using the Ideal Gas Law equation, we can rearrange it to solve for the number of moles:
n = PV / RT
Substituting the given values:
n = (1 atm) * (5.5 L) / (0.0821 L.atm/mol.K * 310 K)
Simplifying the equation:
n = 0.200 moles
Therefore, there are 0.200 moles of oxygen in the lungs.
Step 3: Calculate the number of oxygen molecules.
To calculate the number of oxygen molecules, we can use Avogadro's number, which is approximately 6.022 x 10^23 molecules/mol.
Number of oxygen molecules = 0.200 moles * (6.022 x 10^23 molecules/mol)
Simplifying the equation:
Number of oxygen molecules = 1.204 x 10^23 molecules
Therefore, there are approximately 1.204 x 10^23 oxygen molecules in the lungs.
Summary:
- The number of oxygen molecules in the lungs can be calculated by first determining the number of moles of oxygen using the Ideal Gas Law equation.
- Then, the number of moles can be converted to the number of molecules using Avogadro's number.
- In this case, there are approximately 1.204 x 10^23 oxygen molecules in the lungs.
Community Answer
When a person breaths his lungs can hold up to 5.5 litre of air at bod...
2.7×10^22
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When a person breaths his lungs can hold up to 5.5 litre of air at body temperature 37 degree Celsius and atmospheric pressure (1atm=101kPa).This air contains 21 percentage oxygen.Calculate the number of oxygen molecules in the lungs.?
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When a person breaths his lungs can hold up to 5.5 litre of air at body temperature 37 degree Celsius and atmospheric pressure (1atm=101kPa).This air contains 21 percentage oxygen.Calculate the number of oxygen molecules in the lungs.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about When a person breaths his lungs can hold up to 5.5 litre of air at body temperature 37 degree Celsius and atmospheric pressure (1atm=101kPa).This air contains 21 percentage oxygen.Calculate the number of oxygen molecules in the lungs.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When a person breaths his lungs can hold up to 5.5 litre of air at body temperature 37 degree Celsius and atmospheric pressure (1atm=101kPa).This air contains 21 percentage oxygen.Calculate the number of oxygen molecules in the lungs.?.
When a person breaths his lungs can hold up to 5.5 litre of air at body temperature 37 degree Celsius and atmospheric pressure (1atm=101kPa).This air contains 21 percentage oxygen.Calculate the number of oxygen molecules in the lungs.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about When a person breaths his lungs can hold up to 5.5 litre of air at body temperature 37 degree Celsius and atmospheric pressure (1atm=101kPa).This air contains 21 percentage oxygen.Calculate the number of oxygen molecules in the lungs.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When a person breaths his lungs can hold up to 5.5 litre of air at body temperature 37 degree Celsius and atmospheric pressure (1atm=101kPa).This air contains 21 percentage oxygen.Calculate the number of oxygen molecules in the lungs.?.
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