Neon is compressed from 100 kpa and 24°c to 500 kpa in an isothermal compressor. determine the change in the specific volume and specific enthalpy of neon caused by this compression. the gas constant of neon is r = 0.4119 kj/kg·k, and the constant-pressure specific heat of neon is 1.0299 kj/kg·k.

ΔV = -0.97 m³/ kg

ΔH = 0 kJ/ kg

Explanation:

To determine the change in the specific volume we need to use the ideal gas law:  

where P: pressure of the gas V: volume of the gas, R: ideal gas constant= 0.4119 kJ/kg.K = 0.4119 kPa.m³/kg.K and T: temperature of the gas.

The V₁, at a compressed pressure is:

Similarly, the V₂ is:

Now, the change in the specific volume because the compressor is:

Finally, to calculate the change in the specific enthalpy, we need to remember that neon is an ideal gas and that is an isothermal process:

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