A question about standard metric cube

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Sizing a compressor for natural gas requires considering the gas as a mixture of ideal gases, with compression pressures between 9 and 32 bar starting at 45 °C. The volumetric flow rate is specified as 85,000 Sm3 per day, and adjustments must be made for the conditions inside the compressor, potentially using the ideal gas law to convert from Sm3 to m3. It is crucial to focus on mass flow rate rather than volumetric flow rate, as the mass entering must equal the mass exiting. For calculating specific work of compression, the specific heat capacities Cp and Cv should be estimated as averages based on the molar fractions of the gas components. This method of averaging the heat capacities for the mixture is valid for determining the thermophysical properties of the natural gas.
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Hi everybody,
I'm having difficulties sizing a compressor for natural gas.
First,my assumption is to take natural gas as mixture of ideal gases.The compression must be between 9 and 32 bar and it starts at 45 °C.
I know that volumetric flow rate must be 85000 Sm3 per day ,where I assume 15°C and 1 bar as Standard Conditions.
Now how do I think about volumetric flow rate considering conditions of the fluid inside the compressor?
Do I need to change unit of measure of the volumetric flow rate from (Sm3 per day) to (m3 per day) using ideal gas' law?
Because I must find the power required by comrpessor.

Thanks in advance.If I haven't been clear about something tell me.
 
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Since the gas is being compressed, the volume entering is going to be larger than the volume exiting. Think about it in terms of mass flow rate instead of volumetric flow rate. The same amount of mass has to leave the compressor as came into it.

Also, you shouldn't just assume something is an ideal gas.
 
Right,it was just what I was thinking about.My assumption of natural gas as ideal gas was just for approximate its thermophysical proprieties knowing composition of this natural gas.
About this I have also another question:in evaluating power of compression I also need to find the specific work of compression but I should know first the specific heat capacities Cp and Cv (and so them ratio k).
Would it be correct to evaluate Cp and Cv of natural gas as average of the heat capacities of all the component gases weighted on molar fraction?
For example,the mean temperature and pressure of compression are 70°C and 16 bar and natural gas is composed in:75% CH4,15% H2S,10% CO2(in volumes,so in moles).
Is it correct to write:

Cpnatural gas(70°C,16 bar)=CpCH4(70°C,16 bar)*0.75+CpH2S(70°C,16 bar)*0.15+CpCO2(70°C,16 bar)*0.10

and in same way for Cv?
 
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