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Calculate the average kinetic energy, in Joule per molecule in 8.0 g of methane at 27°C:
  • a)
    6.21 × 10–21
  • b)
    3.21 × 10–21
  • c)
    4.21 × 10–21
  • d)
    7.21 × 10–21
Correct answer is option 'A'. Can you explain this answer?
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Calculate the average kinetic energy, in Joule per molecule in 8.0 g o...
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Calculate the average kinetic energy, in Joule per molecule in 8.0 g o...
Kinetic energy of a gas is independent of the nature (mass) of the gas. It only depends on temperature.
K. E = (3/2)*K T
= (3/2)*(300K)(1.380*10^-23)
= 6.21*10^-21
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Calculate the average kinetic energy, in Joule per molecule in 8.0 g o...
The molar mass of methane (CH4) is 16.04 g/mol.
First, we need to find the number of moles of methane in 8.0 g.

Number of moles = mass / molar mass
Number of moles = 8.0 g / 16.04 g/mol
Number of moles ≈ 0.498 mol

Next, we need to convert the temperature from Celsius to Kelvin.

Temperature in Kelvin = 27 + 273.15
Temperature in Kelvin ≈ 300.15 K

The average kinetic energy of a gas molecule can be calculated using the equation:

Average kinetic energy = (3/2) * (R) * (temperature)
R = 8.314 J/(mol*K) (gas constant)

Average kinetic energy = (3/2) * (8.314 J/(mol*K)) * (300.15 K)
Average kinetic energy ≈ 3730 J/mol

Finally, we need to calculate the average kinetic energy per molecule.

Average kinetic energy per molecule = Average kinetic energy / Number of moles
Average kinetic energy per molecule ≈ 3730 J/mol / 0.498 mol
Average kinetic energy per molecule ≈ 7489 J/mol

Therefore, the average kinetic energy per molecule in 8.0 g of methane at 27°C is approximately 7489 Joules.
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Calculate the average kinetic energy, in Joule per molecule in 8.0 g of methane at 27°C:a)6.21 × 10–21b)3.21 × 10–21c)4.21 × 10–21d)7.21 × 10–21Correct answer is option 'A'. Can you explain this answer? for Chemistry 2025 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about Calculate the average kinetic energy, in Joule per molecule in 8.0 g of methane at 27°C:a)6.21 × 10–21b)3.21 × 10–21c)4.21 × 10–21d)7.21 × 10–21Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Chemistry 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the average kinetic energy, in Joule per molecule in 8.0 g of methane at 27°C:a)6.21 × 10–21b)3.21 × 10–21c)4.21 × 10–21d)7.21 × 10–21Correct answer is option 'A'. Can you explain this answer?.
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