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Ten kilograms of R-134a fill a 1.595-m3 weighted piston-cylinder device at a temperature of −26.4°C. The container is now heated until the temperature is 100°C. Determine the final volume of the R-134a.

Respuesta :

Explanation:

The given data is as follows.

    Mass of refrigerant, m = 10 kg

  Volume of the refrigerant, V = 1.595 [tex]m^{3}[/tex]

Formula for specific volume of the refrigerant is as follows.

        v = [tex]\frac{V}{m}[/tex]

           = 0.1595 [tex]m^{3}/kg[/tex]

So, at [tex]-26.4^{o}C[/tex] specific volume will be within [tex]v_{f}[/tex] and [tex]v_{g}[/tex] and pressure is constant.

The fluid will be in super-heated state at temperature [tex]100^{o}C[/tex] and at T = [tex]-26.4^{o}C[/tex] pressure 1 bar = 0.1 MPa.

According to super-heated tables, the specific volume is v = 0.30138 [tex]m^{3}/kg[/tex].

Hence, the final volume will be calculated as follows.

               [tex]V_{f} = v \times m[/tex]

                         = [tex]0.30138 m^{3}/kg \times 10 kg[/tex]

                         = 3.0138 [tex]m^{3}[/tex]

Thus, we can conclude that final volume of the R-134a is 3.0138 [tex]m^{3}[/tex].