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In the ideal gas equation PV = nRT, the value of the universal gas constant R in SI units is

  1. A.0.0821
  2. B.8.314
  3. C.1.987
  4. D.6.022

Correct answer

B. 8.314

Explanation

The correct answer is B, 8.314. In SI units the universal gas constant is 8.314 joule per mole per kelvin, obtained by multiplying the Boltzmann constant by the Avogadro number. The same constant takes other values in other units, which is exactly the trap in this question. A, 0.0821 is R in litre atmosphere per mole per kelvin, the convenient form when pressure is in atmospheres and volume in litres. C, 1.987 is R in calorie per mole per kelvin, used in thermochemistry. D, 6.022 is not a gas constant at all but the Avogadro number, 6.022 into ten to the power twenty-three particles in one mole. Read the unit asked for in the question before choosing, because every one of these numbers is correct for some unit, and only one is correct for the joule.

Read the full article: Gas Laws and Kinetic Theory of Gases: Formulas and PYQs

Practice Questions

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Q1.General ScienceEasy

Boyle's law states that at constant temperature, the volume of a fixed mass of gas is

  1. A.Directly proportional to its pressure
  2. B.Inversely proportional to its pressure
  3. C.Independent of its pressure
  4. D.Proportional to the square of its pressure
Show answer
Correct answer: B. Inversely proportional to its pressure

Boyle's law, established in 1662, says that for a fixed mass of gas at constant temperature the product of pressure and volume stays constant, so doubling the pressure halves the volume.

Q2.General ScienceEasy

A hot air balloon rises because warm air

  1. A.Becomes denser than the surrounding air
  2. B.Expands and becomes less dense than the surrounding air
  3. C.Loses its mass on heating
  4. D.Has a lower specific heat than cold air
Show answer
Correct answer: B. Expands and becomes less dense than the surrounding air

By Charles's law the volume of a fixed mass of gas at constant pressure is proportional to its absolute temperature, so heating the air inside the envelope makes it expand; some of it escapes from the open mouth, the mass of air left inside falls, its density becomes lower than…

Q3.General ScienceEasy

Absolute zero of temperature is equal to

  1. A.0 degrees Celsius
  2. B.-100 degrees Celsius
  3. C.-273.15 degrees Celsius
  4. D.-373.15 degrees Celsius
Show answer
Correct answer: C. -273.15 degrees Celsius

Extending the straight line of Charles's law backwards shows that the volume of an ideal gas would become zero at minus 273.15 degrees Celsius, and this point is taken as the zero of the kelvin or absolute scale, at which molecular motion carries its least possible energy.

Q4.General ScienceMedium

The volume occupied by one mole of an ideal gas at 273.15 K and one atmosphere pressure is about

  1. A.11.2 litres
  2. B.22.4 litres
  3. C.44.8 litres
  4. D.1 litre
Show answer
Correct answer: B. 22.4 litres

Substituting one mole, 273.15 kelvin and one atmosphere in the ideal gas equation gives a volume of 22.4 litres, the molar volume at standard temperature and pressure, and this is the figure used in mole calculations; with the modern standard pressure of one bar the value works out to about…

Q5.General ScienceMedium

According to Graham's law, the rate of diffusion of a gas is inversely proportional to the

  1. A.Square of its molar mass
  2. B.Square root of its molar mass
  3. C.Cube root of its molar mass
  4. D.Absolute temperature
Show answer
Correct answer: B. Square root of its molar mass

Graham's law of diffusion states that at the same temperature and pressure the rate at which a gas diffuses is inversely proportional to the square root of its density, and therefore of its molar mass.