Question

In the equation of an ideal gas, PV = nRT, the value of the universal gas constant would depend
only on
(A) the nature of the gas
(B) the pressure of the gas
(C) the temperature of the gas
(D) the units of measurement​

Answer 1

Ideal Gas Equation :

PV = nRT

PV directly proportional to nT.

Where,

R is a constant of proportionality and is independent of the amount of the gas as well as nature of the gas it is known as universal gas constant.

Thus,

Answer : (d) the units of measurement.

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Unit of R : pls refer to the attachment

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Answer 2

Answer: Option (D) is the correct answer.

Explanation:

Since, PV= nRT is the ideal gas equation.

where,   P = pressure

             V = volume

             n = number of moles of a gas

             T = temperature

              R = gas constant

As R is a constant, so it will have a fixed value as $0.0821 L atm/mol K$ or 8.314 J/K mol. Also, the expression for R will be as follows.

                       R = $\frac{PV}{nT}$

So, the value of R actually depends on the units of measurement calculated through values of P, V, n and T.

Thus, we can conclude that in the equation of an ideal gas, PV = nRT, the value of the universal gas constant would depend only on the units of measurement​.