FRAC{{{T_2}}}{{{T_1}}} = {\left( {\frac{{{P_2}}}{{{P_1}}}} \right)^{\frac{{\gamma - 1}}{\gamma }}}\)\(\frac{{{T_2}}}{{{300}}} = {\left( {\frac{{{0.2}}}{{{0.1}}}} \right)^{\frac{{\gamma - 1}}{\gamma }}}\)T2 = 396.18 KAND, \(R = \frac{{8.314}}{{40}}\) = 0.207 kJ/kg-K\(W_c= \frac{{R{T_1} - R{T_2}}}{{\gamma - 1}}\) = \(\frac{{0.207\left( {300\; -\; 396.18} \right)}}{{1\; - 1.67}}\) = -29.7 kJ/kg

"> FRAC{{{T_2}}}{{{T_1}}} = {\left( {\frac{{{P_2}}}{{{P_1}}}} \right)^{\frac{{\gamma - 1}}{\gamma }}}\)\(\frac{{{T_2}}}{{{300}}} = {\left( {\frac{{{0.2}}}{{{0.1}}}} \right)^{\frac{{\gamma - 1}}{\gamma }}}\)T2 = 396.18 KAND, \(R = \frac{{8.314}}{{40}}\) = 0.207 kJ/kg-K\(W_c= \frac{{R{T_1} - R{T_2}}}{{\gamma - 1}}\) = \(\frac{{0.207\left( {300\; -\; 396.18} \right)}}{{1\; - 1.67}}\) = -29.7 kJ/kg

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A mono-atomic ideal gas (γ = 1.67, molecular weight = 40) is compressed adiabatically from 0.1 MPa, 300 K to 0.2 MPa . The universal gas constant is 8.314 kJmol-1K-1. The work of compression of the gas (in kJ kg-1) is

Fluid Mechanics First Law Thermodynamics in Fluid Mechanics 8 months ago

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\(\FRAC{{{T_2}}}{{{T_1}}} = {\left( {\frac{{{P_2}}}{{{P_1}}}} \right)^{\frac{{\gamma - 1}}{\gamma }}}\)\(\frac{{{T_2}}}{{{300}}} = {\left( {\frac{{{0.2}}}{{{0.1}}}} \right)^{\frac{{\gamma - 1}}{\gamma }}}\)T2 = 396.18 KAND, \(R = \frac{{8.314}}{{40}}\) = 0.207 kJ/kg-K\(W_c= \frac{{R{T_1} - R{T_2}}}{{\gamma - 1}}\) = \(\frac{{0.207\left( {300\; -\; 396.18} \right)}}{{1\; - 1.67}}\) = -29.7 kJ/kg

Posted on 12 Nov 2024, this text provides information on Fluid Mechanics related to First Law Thermodynamics in Fluid Mechanics. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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