
In the ideal gas equation, what does R represent?
A. pressure
B. volume
C. no. of moles of gas
D. gas constant
E. temperature.
Answer
504.6k+ views
Hint: The general gas equation, commonly known as the ideal gas law, is the state equation of a hypothetical ideal gas. Although it has numerous drawbacks, it is a decent approximation of the behaviour of various gases under many situations. Benoît Paul Émile Clapeyron originally articulated it in 1834 as a mixture of empirical Boyle's law, Charles' law, Avogadro's law, and Gay-law Lussac's.
Complete answer:
PV=nRT, where P, V, and T represent pressure, volume, and temperature, respectively; n represents the amount of material; and R represents the ideal gas constant. All gases behave in the same way. It may also be deduced from microscopic kinetic theory, as August Krönig and Rudolf Clausius did (seemingly independently) in 1856 and 1857, respectively.
The sign R stands for the molar gas constant (also known as the gas constant, universal gas constant, or ideal gas constant). It's the molar equivalent of the Boltzmann constant, but in terms of energy per temperature increment per mole, i.e. the pressure–volume product, rather than energy per temperature increment per particle. The constant is a mixture of Boyle's law, Charles' law, Avogadro's law, and Gay-law Lussac's constants. It is a physical constant that appears in a number of important physical equations, including the ideal gas law, the Arrhenius equation, and the Nernst equation.
R = \[0.0821{\text{atm d}}{{\text{m}}^{\text{3}}}{\text{ mo}}{{\text{l}}^{{\text{ - 1}}}}{\text{ }}{{\text{K}}^{{\text{ - 1}}}}\]
So, the correct answer is “Option D”.
Note:
The gas constant is a proportionality constant in physics that connects the energy scale to the temperature scale and the scale used to measure substance quantity. As a result, the value of the gas constant is ultimately determined by past decisions and accidents in the definition of energy, temperature, and material quantity. The Boltzmann constant and the Avogadro constant, which separately link energy to temperature and particle count to material quantity, were also calculated.
Complete answer:
PV=nRT, where P, V, and T represent pressure, volume, and temperature, respectively; n represents the amount of material; and R represents the ideal gas constant. All gases behave in the same way. It may also be deduced from microscopic kinetic theory, as August Krönig and Rudolf Clausius did (seemingly independently) in 1856 and 1857, respectively.
The sign R stands for the molar gas constant (also known as the gas constant, universal gas constant, or ideal gas constant). It's the molar equivalent of the Boltzmann constant, but in terms of energy per temperature increment per mole, i.e. the pressure–volume product, rather than energy per temperature increment per particle. The constant is a mixture of Boyle's law, Charles' law, Avogadro's law, and Gay-law Lussac's constants. It is a physical constant that appears in a number of important physical equations, including the ideal gas law, the Arrhenius equation, and the Nernst equation.
R = \[0.0821{\text{atm d}}{{\text{m}}^{\text{3}}}{\text{ mo}}{{\text{l}}^{{\text{ - 1}}}}{\text{ }}{{\text{K}}^{{\text{ - 1}}}}\]
So, the correct answer is “Option D”.
Note:
The gas constant is a proportionality constant in physics that connects the energy scale to the temperature scale and the scale used to measure substance quantity. As a result, the value of the gas constant is ultimately determined by past decisions and accidents in the definition of energy, temperature, and material quantity. The Boltzmann constant and the Avogadro constant, which separately link energy to temperature and particle count to material quantity, were also calculated.
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