The Ideal-gas equation is ______.

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RRB ALP Electrician 22 Jan 2019 Official Paper (Shift 2)
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  1. PV/T = μR
  2. V/T = (1/μ) R
  3. P/VT = μR
  4. T/PV = μR

Answer (Detailed Solution Below)

Option 1 : PV/T = μR
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The Correct Answer is PV/T = μR.

Key Points

  • The Ideal Gas law is the equation of a hypothetical ideal gas state. In many cases, it is a good approximation of the behaviour of several gases, although it has many limitations. It's possible to write the ideal gas equation as
  • PV/T = μR
    • P = Pressure of the ideal gas.
    • V = Volume of the ideal gas
    • μ = Amount of ideal gas measured in terms of moles 
    • R = Universal gas constant
    • T = Temperature
  • A theoretical gas consisting of a collection of randomly moving point particles interacting only through elastic collisions is an ideal gas. The ideal definition of gas is useful because it follows the ideal law of gas, a simplified state equation, which can be studied under statistical mechanics. 

Important Points

  • The laws dealing with ideal gases are naturally called ideal gas laws, and the laws were determined in the seventeenth century by Boyle's observational work and in the eighteenth century by Charles.
  • The Boyles Law states that the gas pressure is inversely proportional to the gas volume for a given mass of gas stored at a constant temperature.
  • Charles Law states that the gas volume is directly proportional to the gas temperature for a given fixed mass of gas stored at a constant pressure. 
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