At 600 x 103 N/m2 and 27°C, the molecular volume of any perfect gas will be ____________________?
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Answer: A. 4.17m3/kgmol
Explanation
Using the ideal gas law, the molecular volume of a perfect gas calculates to 4.17 cubic meters. Dividing the universal gas constant by pressure and multiplying by temperature yields this volume. Substituting 600 kPa and 300 K into the equation provides the exact numerical result. The ideal gas equation of state relates pressure, volume, temperature, and moles. Universal gas constant has a standard value of approximately 8.314 Joules per mole Kelvin. Kilomole calculations are standard in engineering thermodynamics for gas mixtures.
Chemical processing plants use gas laws to determine vessel sizing and storage requirements. Combustion analysis requires precise volume calculations at elevated temperatures and pressures. Aerospace engineers apply these principles to predict atmospheric gas expansion properties. Option B overestimates the molecular volume by ignoring correct pressure conversion factors. Option C underestimates the volume due to arithmetic errors in division steps. Option D miscalculates the decimal placement in the resulting ideal gas volume.
- Subject
- Engineering
- Category
- Mechanical Engineering
- Topic
- —
- Difficulty
- medium
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