a. The Van der Waals equation is an equation of state for a fluid relating pressure...

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a. The Van der Waals equation is an equation of state for a fluid relating pressure (p) to absolute temperature (T) and partial molar volume (v), where R is the universal gas constant, such that: a (p+ 2) (v - b) = RT In designing a new fuel tank for a hydrogen vehicle, you are required to use the Van der Waals equation. In the fuel tank hydrogen is stored at a pressure of 100 atmospheres and 323 K temperature. The Van der Waals constants (a and b) for hydrogen are given as a = 0.2476 L2 atm mol-2 and b = 0.0266 L mol-¹, R = 0.0821. Using the Van der Waals equation, solve for partial molar volume v, conducting one iteration. The solution has a root near v = 1 L. Hint: Form the 3rd order non-linear polynomial and then solve using an appropriate method. [10 marks] b. Ridders method is used for solving non-linear equations. Briefly describe when and why you would use this method over other root finding approaches. [2 marks] a. The Van der Waals equation is an equation of state for a fluid relating pressure (p) to absolute temperature (T) and partial molar volume (v), where R is the universal gas constant, such that: a (p+ 2) (v - b) = RT In designing a new fuel tank for a hydrogen vehicle, you are required to use the Van der Waals equation. In the fuel tank hydrogen is stored at a pressure of 100 atmospheres and 323 K temperature. The Van der Waals constants (a and b) for hydrogen are given as a = 0.2476 L2 atm mol-2 and b = 0.0266 L mol-¹, R = 0.0821. Using the Van der Waals equation, solve for partial molar volume v, conducting one iteration. The solution has a root near v = 1 L. Hint: Form the 3rd order non-linear polynomial and then solve using an appropriate method. [10 marks] b. Ridders method is used for solving non-linear equations. Briefly describe when and why you would use this method over other root finding approaches. [2 marks]

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a To solve for the partial molar volume v using the corrected Van der Waals equation you provided yo... View the full answer