Units and Dimensions
Sunday, June 9, 2024
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[27 Jan. 2024 (Shift-02)]
The equation of state of a real gas is given by ( P + `\frac{a}{v^{2}}` )( V – b ) = RT, where P, V and T are Pressure, Volume and Temperature respectively and R is the universal gas constant. The dimensions of `\frac{a}{b^{2}}` is similar to that of:
The equation of state of a real gas is given by ( P + `\frac{a}{v^{2}}` )( V – b ) = RT, where P, V and T are Pressure, Volume and Temperature respectively and R is the universal gas constant. The dimensions of `\frac{a}{b^{2}}` is similar to that of:
a) PV
b) P
c) RT
d) R
Explanation:
[P] = [`\frac{a}{v^{2}}`] ⇒ [a] = [PV2]
and [V] = [b]
`\frac{[a]}{[v^{2}]}` = `\frac{[PV2]}{[V2]}` = [P]
[P] = [`\frac{a}{v^{2}}`] ⇒ [a] = [PV2]
and [V] = [b]
`\frac{[a]}{[v^{2}]}` = `\frac{[PV2]}{[V2]}` = [P]
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