Question #78370

Air (ideal and perfect gas) with mass of 8.000kg is heated at constant pressure of 9.000mbar (gage) from -20.810C to 179.148C. Determine the heat required in MJ, and the change of the system volume (ΔV= V2-V1).
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Expert's answer

2018-06-19T05:44:24-0400

Question #78370, Engineering / Chemical Engineering

Air (ideal and perfect gas) with mass of 8.000kg is heated at constant pressure of 9.000mbar (gage) from -20.810C to 179.148C. Determine the heat required in MJ, and the change of the system volume (ΔV=V2V1\Delta V = V2 - V1)

Solution

Q=mcpΔT=(8)(1006)(179.14820.810)=1.274V.Q = m c_p \Delta T = (8)(1006)(179.148 - 20.810) = 1.274\,V.ΔV=mRΔTp=(8)(287.058)(179.14820.810)900=404.0m3.\Delta V = \frac{m R \Delta T}{p} = \frac{(8)(287.058)(179.148 - 20.810)}{900} = 404.0\,m^3.


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