For an ideal gas equation PV= nRT, the dimensions of Real Gas Constant R are:
Correct answer: A. [M1 L2 T-2 K-1]
- A. [M1 L2 T-2 K-1]
- B. [M1 L-3 T-1 K-1]
- C. [M1 L-2 T-1 K-1]
- D. [M1 L-3 T-2 K-1]
Explanation
The ideal gas equation is:PV=nRTWhere:P is pressure with dimensions [ML−1T−2]V is volume with dimensions [L³][n is the number of moles (dimensionless),R is the gas constant (which we are solving for),T is temperature with dimensions [K]We rearrange the ideal gas equation to solve for R:R=PV/nTR Now, substituting the dimensions:P has dimensions of [ML⁻¹T⁻²]V has dimensions of [L³]T has dimensions of [K].So the dimensions of r are:RR=[ML−1T−2]⋅[L³] /K]=[M L2T−2K−1] Thus, the correct answer is [M1 L2 T-2 K-1], which corresponds to Option A.
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Thermal equilibrium means that bodies in contact have the same temperature and no net heat flows between them. The topic distinguishes heat from temperature, uses the zeroth law of thermodynamics, and covers heat transfer, specific heat capacity, thermal expansion and the conditions for reaching equilibrium.
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