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The volume of a gas at 0C and 700mm pressure is 760cc. The no of molecules present in this volume is?
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The volume of a gas at 0C and 700mm pressure is 760cc. The no of molec...
Given Data
- Temperature (T) = 0°C = 273.15 K
- Pressure (P) = 700 mmHg
- Volume (V) = 760 cc
Conversion of Pressure
- Convert 700 mmHg to atmospheres:
- 1 atm = 760 mmHg
- P = 700 mmHg / 760 mmHg = 0.921 atm
Using Ideal Gas Law
- The ideal gas law is given by:
- PV = nRT
- Where:
- P = pressure in atm
- V = volume in liters (convert 760 cc to liters: 760 cc = 0.760 L)
- n = number of moles
- R = ideal gas constant (0.0821 L·atm/(K·mol))
- T = temperature in Kelvin (273.15 K)
Calculation of Moles
- Rearranging the ideal gas law to solve for n:
- n = PV / RT
- Plugging in the values:
- n = (0.921 atm) * (0.760 L) / (0.0821 L·atm/(K·mol) * 273.15 K)
- n ≈ 0.0307 moles
Number of Molecules
- To find the number of molecules (N):
- Use Avogadro's number (6.022 x 10^23 molecules/mol):
- N = n * Avogadro's number
- N ≈ 0.0307 mol * (6.022 x 10^23 molecules/mol)
- N ≈ 1.84 x 10^22 molecules
Conclusion
- The number of molecules present in 760 cc of gas at 0°C and 700 mmHg pressure is approximately 1.84 x 10^22 molecules.
- Temperature (T) = 0°C = 273.15 K
- Pressure (P) = 700 mmHg
- Volume (V) = 760 cc
Conversion of Pressure
- Convert 700 mmHg to atmospheres:
- 1 atm = 760 mmHg
- P = 700 mmHg / 760 mmHg = 0.921 atm
Using Ideal Gas Law
- The ideal gas law is given by:
- PV = nRT
- Where:
- P = pressure in atm
- V = volume in liters (convert 760 cc to liters: 760 cc = 0.760 L)
- n = number of moles
- R = ideal gas constant (0.0821 L·atm/(K·mol))
- T = temperature in Kelvin (273.15 K)
Calculation of Moles
- Rearranging the ideal gas law to solve for n:
- n = PV / RT
- Plugging in the values:
- n = (0.921 atm) * (0.760 L) / (0.0821 L·atm/(K·mol) * 273.15 K)
- n ≈ 0.0307 moles
Number of Molecules
- To find the number of molecules (N):
- Use Avogadro's number (6.022 x 10^23 molecules/mol):
- N = n * Avogadro's number
- N ≈ 0.0307 mol * (6.022 x 10^23 molecules/mol)
- N ≈ 1.84 x 10^22 molecules
Conclusion
- The number of molecules present in 760 cc of gas at 0°C and 700 mmHg pressure is approximately 1.84 x 10^22 molecules.
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The volume of a gas at 0C and 700mm pressure is 760cc. The no of molecules present in this volume is?
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The volume of a gas at 0C and 700mm pressure is 760cc. The no of molecules present in this volume is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The volume of a gas at 0C and 700mm pressure is 760cc. The no of molecules present in this volume is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The volume of a gas at 0C and 700mm pressure is 760cc. The no of molecules present in this volume is?.
The volume of a gas at 0C and 700mm pressure is 760cc. The no of molecules present in this volume is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The volume of a gas at 0C and 700mm pressure is 760cc. The no of molecules present in this volume is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The volume of a gas at 0C and 700mm pressure is 760cc. The no of molecules present in this volume is?.
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