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Semenov [28]
3 years ago
11

Calculate the specific volume of Helium using the compressibility factor. 500 kPa, 60 degrees Celsius

Chemistry
1 answer:
IrinaK [193]3 years ago
7 0

Explanation:

Formula for compressibility factor is as follows.

                     z = \frac{P \times V_{m}}{R \times T}

where,     z = compressibility factor for helium = 1.0005

               P = pressure

          V_{m} = molar volume

                R = gas constant = 8.31 J/mol.K

                T = temperature

So, calculate the molar volume as follows.

                V_{m} = \frac{z \times R \times T}{P}

                             = \frac{1.0005 \times 8.314 \times 10^{-3} m^{3}.kPa/mol K \times (60 + 273)K}{500 kPa}

                             = 0.0056 m^{3}/mol

As molar mass of helium is 4 g/mol. Hence, calculate specific volume of helium as follows.

                    V_{sp} = \frac{V_{m}}{M_{w}}

                           = \frac{0.0056 m^{3}/mol}{4 g/mol}

                           = 0.00139 m^{3}/g

                           = 0.00139 m^{3}/g \times \frac{1 g}{10^{-3}kg}

                                 = 1.39 m^{3}/kg

Thus, we can conclude that the specific volume of Helium in given conditions is 1.39 m^{3}/kg.

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