We define the specific ideal gas constant Rgas for a

Chapter 7, Problem 7P

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Problem 7P

We define the specific ideal gas constant Rgas for a particular gas as the ratio of the universal gas constant and the molar mass (also called molecular weight) of the gas, Rgas = Ru/M. For a particular gas, then, the ideal gas law is written as follows:

where P is pressure, V is volume, m is mass, T is absolute temperature, and ρ is the density of the particular gas. What are the primary dimensions of Rgas? For air, Rair = 287.0 J/kg ⋅ K in standard SI units. Verify that these units agree with your result

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