Gas resistance inside a vessel is expressed by (where P = pressure, V = volume, n = number of moles, R = gas constant) ?
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Answer: A. V/nRT
Explanation
The ideal gas law is expressed algebraically by the fundamental equation of state pressure times volume equals moles times gas constant times temperature. Gas resistance in thermal fluid analogies represents the ratio of pressure drop to resulting gas flow rate. Rearranging and defining the property ratio terms appropriately yields the specific expression V divided by nRT. The ideal gas equation relates macroscopic thermodynamic properties including pressure, volume, and absolute temperature. Molar gas constant represents the proportionality constant connecting energy, temperature, and quantity of gas. System resistance parameters quantify the opposition encountered by flowing fluids or transferred thermal energy.
Chemical engineering thermodynamics utilizes gas laws to model reactor pressures and pneumatic transmission lines. Pneumatic control systems analyze gas resistance to predict signal transmission speeds through long tubing. Accurate modeling of gaseous systems ensures safe operation of pressurized industrial storage vessels. Option B represents a reciprocal stiffness or capacitance term rather than the primary gas resistance. Option C provides an inverted expression that fails to match the required thermal fluid resistance ratio. Option D describes a different dimensionless pressure ratio rather than the correct volumetric resistance.
- Subject
- Engineering
- Category
- Chemical Engineering
- Topic
- —
- Difficulty
- medium
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