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Which of the following represents the correct relationship for the gas constant of an ideal gas?

a.R = Cp - Cv
b.R = CvlCp
c.R = CplCv
d.R = C - Cp

1 Answer

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Final answer:

The gas constant of an ideal gas is represented by the symbol R. Its value depends on the units chosen for pressure, temperature, and volume. Table 6.6.1 provides a list of numerical values of R based on the units used for pressure and volume.

Step-by-step explanation:

The gas constant of an ideal gas is represented by the symbol R. The relationship for the gas constant is given by the equation Cp = Cv + R, where Cp represents the molar heat capacity of an ideal gas under constant pressure and Cv represents the molar heat capacity of an ideal gas under constant volume. R is the proportionality constant in this equation and is known as the gas constant.

The value of the gas constant depends on the units chosen for pressure, temperature, and volume in the ideal gas equation. It is necessary to use Kelvin for temperature and the SI unit of liters for volume. The units of pressure commonly used are kPa, atm, or mm Hg. Therefore, R can have different values based on these units.

Table 6.6.1: Values of the Ideal Gas Law Constant provides a list of numerical values of R based on the units used for pressure and volume.

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