(Solved) : 27 Ideal Gas Law Introduced Example 21 Describes Relation Ship Pressure P Temperature T Vo Q44094768 . . .
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2.7. The ideal gas law was introduced in Example 2.1. It describes the relation- ship between pressure (P), temperature (T), volume (V), and the number of moles of gas (n). PV = nRT The additional symbol, R, represents the ideal gas constant. The ideal gas law is a good approximation of the behavior of gases when the pressure is low and the temperature is high. (What constitutes low pressure and high temperature varies with different gases.) In 1873, Johannes Diderik van der Waals (Figure P2.7) proposed a modified version of the ideal gas law that better models the behavior of real gases over a wider range of temperature and pressure. (V – nb) = nRT In this equation the additional variables a and b represent values characteristic of individual gases. Use both the ideal gas law and van der Waals’ equation to calculate the temperature of water vapor (steam), given the following data. Pressure, P 220 bar Moles, n 2 mol Volume, V 1L 5.536 L-bar/mol 0.03049 L/mol Ideal gas constant, R 0.08314472 L bar/K mol *Source: Weast, R. C. (Ed.), Handbook of Chemistry and Physics (53rd Edn.), Cleveland: Chemical Rubber Co., 1972. Moore Problem 2.7 2.19 Recall from Problem 2.7 that the ideal gas law is: PV = nRT and that the van der Waals modification of the ideal gas law is (P+ **) (v – nb) = nRT Using the data from Problem 2.7, find the value of temperature (7), for (a) 10 values of pressure from 0 bar to 400 bar for volume of 1 L (b) 10 values of volume from 0.1 L to 10 L for a pressure of 220 bar *% Problem 2.19 % Find the temperature using the ideal gas law T_ideal_a= % Find the temperature using van der Waal’s equation T_VW_a= 13 % Find the temperature using the ideal gas law 14 T_ideal_b= 16 % Find the temperature using van der Waal’s equation 17 T_VW_b= Show transcribed image text 2.7. The ideal gas law was introduced in Example 2.1. It describes the relation- ship between pressure (P), temperature (T), volume (V), and the number of moles of gas (n). PV = nRT The additional symbol, R, represents the ideal gas constant. The ideal gas law is a good approximation of the behavior of gases when the pressure is low and the temperature is high. (What constitutes low pressure and high temperature varies with different gases.) In 1873, Johannes Diderik van der Waals (Figure P2.7) proposed a modified version of the ideal gas law that better models the behavior of real gases over a wider range of temperature and pressure. (V – nb) = nRT In this equation the additional variables a and b represent values characteristic of individual gases. Use both the ideal gas law and van der Waals’ equation to calculate the temperature of water vapor (steam), given the following data. Pressure, P 220 bar Moles, n 2 mol Volume, V 1L 5.536 L-bar/mol 0.03049 L/mol Ideal gas constant, R 0.08314472 L bar/K mol *Source: Weast, R. C. (Ed.), Handbook of Chemistry and Physics (53rd Edn.), Cleveland: Chemical Rubber Co., 1972. Moore Problem 2.7
2.19 Recall from Problem 2.7 that the ideal gas law is: PV = nRT and that the van der Waals modification of the ideal gas law is (P+ **) (v – nb) = nRT Using the data from Problem 2.7, find the value of temperature (7), for (a) 10 values of pressure from 0 bar to 400 bar for volume of 1 L (b) 10 values of volume from 0.1 L to 10 L for a pressure of 220 bar
*% Problem 2.19 % Find the temperature using the ideal gas law T_ideal_a= % Find the temperature using van der Waal’s equation T_VW_a= 13 % Find the temperature using the ideal gas law 14 T_ideal_b= 16 % Find the temperature using van der Waal’s equation 17 T_VW_b=
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Answer to 2.7. The ideal gas law was introduced in Example 2.1. It describes the relation- ship between pressure (P), temperature …
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