In PV=nRT  equation the universal gas constant ‘R’ value depends upon

In the ideal gas equation PV = nRT, the universal gas constant R is a fundamental constant with a fixed value. However, its numerical value can vary depending on the units used for pressure, volume, and temperature. Therefore, the correct answer is:

d) Units in which the properties are measured

Explanation:

The universal gas constant R has a constant value, but its numerical representation changes based on the units employed for pressure, volume, and temperature in the ideal gas law. For example:

• When pressure is in atmospheres (atm), volume in liters (L), and temperature in Kelvin (K), R is approximately 0.0821 L·atm·mol⁻¹·K⁻¹.
• When pressure is in pascals (Pa), volume in cubic meters (m³), and temperature in Kelvin (K), R is approximately 8.314 J·mol⁻¹·K⁻¹.

This variation occurs because R must balance the equation PV = nRT across different unit systems. Therefore, while the intrinsic value of R remains constant, its numerical value adapts to the units of measurement used for the other variables in the equation.

It's important to note that R does not depend on the nature of the gas, pressure, or temperature itself; it is a universal constant applicable to all ideal gases. The dependency is solely on the units chosen for the equation's parameters.