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Derive an expression for the speed of sound based on van der Waals' equation of state P= RT(v - b) -a/v2. Using this relation, determine the speed of sound in carbon dioxide at 50°C and 200 kPa, and compare your result to that obtained by assuming ideal-gas behavior. The van der Waals constants for carbon dioxide are a = 364.3 kPa · m6/kmol2 and b= 0.0427 m3/kmol.

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