Explanation Given information: The primary dimensions of gas constant R over universal gas constant R u are (a) L 2 /t 2 .T (b) m .L/N (c) m/t .N .T (d) m/L 3 (e) N/m Dimension: It is defined as the measure of physical quantity. It does not include numerical values. Dimensions tells the nature of the quantity. Dimensions are an arbitrary chosen property (physical). Examples- length, mass, time. Following are the seven primary dimensions: Mass Length Time Temperature Electric flow Amount of light Amount of matter. Significance: All the seven primary dimensions are combined to form dimensions of all other dimensions. The first four primary dimensions (mass, length, time and temperature) are used for all kind of dimensional homogeneity in field of thermal and mechanical science. Now, From ideal gas law, pv=nR U T Here, p = pressure v = volume T = absolute temperature n = number of moles. pv = nR U T R U = pv nT R U = pressure×volume mole×temprature { R U } = { M Lt 2 ×L 3 N×T } { R U } = { ML 2 t 2 ×N×T } In exponential form, it can be expressed as, { R U }

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ISBN: 9781266016042

Author: CENGEL

Publisher: MCG CUSTOM

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Thermodynamics is the division of physics that deals with the transfer of any kind of energy, whether it be heat, temperature, or work, from one object to another.

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Chapter 7, Problem 124P

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The primary dimensions of gas constant R over universal gas constant R_u.

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Chapter 7, Problem 123P

Chapter 7, Problem 125P

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