The relationship between pressure (in kPa), temperature(inKelvin), and the specific volume (in- m³/kg) ofa-gas can-be expressed by the-Redlich-Kwong-equation of state as-follows:¶ RT p = v – b a v(v+ b)VT 0.427R²T?* /Pc; dan-b = Where R=universal gas constant (0.518 kJ/kg.K), a = 0.0866R T./ Pe: where T, and p, are critical temperature and the critical pressure ofthe gas," respectively. The transportation of compressed natural-gas (CNG) uses a special tank that can withstand-high- pressure and-lowtemperature. Assume that the CNG-contains 100% methane (critical- temperature =191-K, critical pressure=4600-kPa) at-40°C-and 6500-kPa. Use the-bisection method to determine the mass of CNG in the tank-if the tank volume is 3.5 m³. (Hint: Derive the- abovementioned equation to form-0 = f(v,a, b,T,R), use VL=0.01 m³/kg as the lower bound- and vu=0.02 m³/kg as the upper bound, and perform the iteration until the approximate error less then-10%).1 %3D %3D
The relationship between pressure (in kPa), temperature(inKelvin), and the specific volume (in- m³/kg) ofa-gas can-be expressed by the-Redlich-Kwong-equation of state as-follows:¶ RT p = v – b a v(v+ b)VT 0.427R²T?* /Pc; dan-b = Where R=universal gas constant (0.518 kJ/kg.K), a = 0.0866R T./ Pe: where T, and p, are critical temperature and the critical pressure ofthe gas," respectively. The transportation of compressed natural-gas (CNG) uses a special tank that can withstand-high- pressure and-lowtemperature. Assume that the CNG-contains 100% methane (critical- temperature =191-K, critical pressure=4600-kPa) at-40°C-and 6500-kPa. Use the-bisection method to determine the mass of CNG in the tank-if the tank volume is 3.5 m³. (Hint: Derive the- abovementioned equation to form-0 = f(v,a, b,T,R), use VL=0.01 m³/kg as the lower bound- and vu=0.02 m³/kg as the upper bound, and perform the iteration until the approximate error less then-10%).1 %3D %3D
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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