Write the primary dimensions of the universal ideal gas constant Ru. (Hint: Use the ideal gas law,...

Question

Write the primary dimensions of the universal ideal gas constant Ru. (Hint: Use the ideal gas law, PV = nRuT where P is pressure, V is volume, T is absolute temperature, and n is the number of moles of the gas.) What is the primary reason for nondimensionalizing an equation?

P · Accepted Answer

using ideal gas equation PV=nRuT.
Hence Ru=PV/nT
Where P is the pressure the dimensional units are  ML-1T-2
whw​V is the Volume  and its dimensional units are L3
n is no. of moles and no dimensions
T is the Temperature and its dimensions are θ
Hence,

Write the primary dimensions of the universal ideal gas constant Ru. (Hint: Use the ideal gas law, PV = nRuT where P is pressure, V is volume, T is absolute temperature, and n is the number of moles...

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