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A plant virus is found to consist of uniform cylindrical particles of 150 angstrom in diameter and 5000 angstrom long. The specific volume of the virus is 0.75 cm3/g. If the virus is considered to be a single particle, find its molar mass (in g/mol, rounded up to three decimal places, in the multiple of 107):
Correct answer is between '7.000,7.200'. Can you explain this answer?
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A plant virus is found to consist of uniform cylindrical particles of ...
**Given data:**
Diameter of virus particle = 150 Å
Length of virus particle = 5000 Å
Specific volume of virus = 0.75 cm3/g
**Calculating volume of virus particle:**
The virus particle is cylindrical in shape. The volume of a cylinder can be calculated using the formula:
V = πr2h
where V is the volume, r is the radius, and h is the height.
Given that the diameter of the virus particle is 150 Å, the radius (r) can be calculated as:
r = 150 Å / 2 = 75 Å = 75 × 10-8 cm
The length of the virus particle is given as 5000 Å, which is equal to 5000 × 10-8 cm.
Substituting the values into the volume formula:
V = π(75 × 10-8 cm)2 × (5000 × 10-8 cm)
V = 3.14 × (75 × 10-8 cm)2 × (5000 × 10-8 cm)
V ≈ 8.84 × 10-8 cm3
**Calculating mass of virus particle:**
The mass of the virus particle can be calculated using the specific volume and the volume of the particle.
Specific volume is defined as the volume occupied by one gram of a substance.
Given that the specific volume of the virus particle is 0.75 cm3/g and the volume of the particle is approximately 8.84 × 10-8 cm3, the mass of the particle (m) can be calculated as:
m = V / specific volume
m = (8.84 × 10-8 cm3) / 0.75 cm3/g
m ≈ 1.179 × 10-6 g
**Calculating molar mass of virus particle:**
The molar mass of the virus particle can be calculated using the formula:
Molar mass = mass / moles
To calculate the moles, we need to know the number of particles in one mole. The Avogadro's number (NA) is the number of particles in one mole, which is approximately 6.022 × 1023.
The number of moles (n) can be calculated as:
n = mass / molar mass
n = (1.179 × 10-6 g) / molar mass
Since the virus particle is considered to be a single particle, the number of moles is equal to 1.
Therefore, we have:
1 = (1.179 × 10-6 g) / molar mass
molar mass = 1.179 × 10-6 g
**Rounding up to the nearest multiple of 107:**
The molar mass of the virus particle is approximately 1.179 × 10-6 g. Rounding up this value to the nearest multiple of 107 gives a value between 7.000 and 7.200.
Hence, the correct answer is between '7.000, 7.200'.
Diameter of virus particle = 150 Å
Length of virus particle = 5000 Å
Specific volume of virus = 0.75 cm3/g
**Calculating volume of virus particle:**
The virus particle is cylindrical in shape. The volume of a cylinder can be calculated using the formula:
V = πr2h
where V is the volume, r is the radius, and h is the height.
Given that the diameter of the virus particle is 150 Å, the radius (r) can be calculated as:
r = 150 Å / 2 = 75 Å = 75 × 10-8 cm
The length of the virus particle is given as 5000 Å, which is equal to 5000 × 10-8 cm.
Substituting the values into the volume formula:
V = π(75 × 10-8 cm)2 × (5000 × 10-8 cm)
V = 3.14 × (75 × 10-8 cm)2 × (5000 × 10-8 cm)
V ≈ 8.84 × 10-8 cm3
**Calculating mass of virus particle:**
The mass of the virus particle can be calculated using the specific volume and the volume of the particle.
Specific volume is defined as the volume occupied by one gram of a substance.
Given that the specific volume of the virus particle is 0.75 cm3/g and the volume of the particle is approximately 8.84 × 10-8 cm3, the mass of the particle (m) can be calculated as:
m = V / specific volume
m = (8.84 × 10-8 cm3) / 0.75 cm3/g
m ≈ 1.179 × 10-6 g
**Calculating molar mass of virus particle:**
The molar mass of the virus particle can be calculated using the formula:
Molar mass = mass / moles
To calculate the moles, we need to know the number of particles in one mole. The Avogadro's number (NA) is the number of particles in one mole, which is approximately 6.022 × 1023.
The number of moles (n) can be calculated as:
n = mass / molar mass
n = (1.179 × 10-6 g) / molar mass
Since the virus particle is considered to be a single particle, the number of moles is equal to 1.
Therefore, we have:
1 = (1.179 × 10-6 g) / molar mass
molar mass = 1.179 × 10-6 g
**Rounding up to the nearest multiple of 107:**
The molar mass of the virus particle is approximately 1.179 × 10-6 g. Rounding up this value to the nearest multiple of 107 gives a value between 7.000 and 7.200.
Hence, the correct answer is between '7.000, 7.200'.
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A plant virus is found to consist of uniform cylindrical particles of 150 angstrom in diameter and 5000 angstrom long. The specific volume of the virus is 0.75 cm3/g. If the virus is considered to be a single particle, find its molar mass (in g/mol, rounded up to three decimal places, in the multiple of 107):Correct answer is between '7.000,7.200'. Can you explain this answer?
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A plant virus is found to consist of uniform cylindrical particles of 150 angstrom in diameter and 5000 angstrom long. The specific volume of the virus is 0.75 cm3/g. If the virus is considered to be a single particle, find its molar mass (in g/mol, rounded up to three decimal places, in the multiple of 107):Correct answer is between '7.000,7.200'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about A plant virus is found to consist of uniform cylindrical particles of 150 angstrom in diameter and 5000 angstrom long. The specific volume of the virus is 0.75 cm3/g. If the virus is considered to be a single particle, find its molar mass (in g/mol, rounded up to three decimal places, in the multiple of 107):Correct answer is between '7.000,7.200'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A plant virus is found to consist of uniform cylindrical particles of 150 angstrom in diameter and 5000 angstrom long. The specific volume of the virus is 0.75 cm3/g. If the virus is considered to be a single particle, find its molar mass (in g/mol, rounded up to three decimal places, in the multiple of 107):Correct answer is between '7.000,7.200'. Can you explain this answer?.
A plant virus is found to consist of uniform cylindrical particles of 150 angstrom in diameter and 5000 angstrom long. The specific volume of the virus is 0.75 cm3/g. If the virus is considered to be a single particle, find its molar mass (in g/mol, rounded up to three decimal places, in the multiple of 107):Correct answer is between '7.000,7.200'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about A plant virus is found to consist of uniform cylindrical particles of 150 angstrom in diameter and 5000 angstrom long. The specific volume of the virus is 0.75 cm3/g. If the virus is considered to be a single particle, find its molar mass (in g/mol, rounded up to three decimal places, in the multiple of 107):Correct answer is between '7.000,7.200'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A plant virus is found to consist of uniform cylindrical particles of 150 angstrom in diameter and 5000 angstrom long. The specific volume of the virus is 0.75 cm3/g. If the virus is considered to be a single particle, find its molar mass (in g/mol, rounded up to three decimal places, in the multiple of 107):Correct answer is between '7.000,7.200'. Can you explain this answer?.
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A plant virus is found to consist of uniform cylindrical particles of 150 angstrom in diameter and 5000 angstrom long. The specific volume of the virus is 0.75 cm3/g. If the virus is considered to be a single particle, find its molar mass (in g/mol, rounded up to three decimal places, in the multiple of 107):Correct answer is between '7.000,7.200'. Can you explain this answer?, a detailed solution for A plant virus is found to consist of uniform cylindrical particles of 150 angstrom in diameter and 5000 angstrom long. The specific volume of the virus is 0.75 cm3/g. If the virus is considered to be a single particle, find its molar mass (in g/mol, rounded up to three decimal places, in the multiple of 107):Correct answer is between '7.000,7.200'. Can you explain this answer? has been provided alongside types of A plant virus is found to consist of uniform cylindrical particles of 150 angstrom in diameter and 5000 angstrom long. The specific volume of the virus is 0.75 cm3/g. If the virus is considered to be a single particle, find its molar mass (in g/mol, rounded up to three decimal places, in the multiple of 107):Correct answer is between '7.000,7.200'. Can you explain this answer? theory, EduRev gives you an
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