Project ForgeProcess Calculations
Laws of Thermodynamics
GATE 2018
Hard
Methane obeys P(V−nb)=nRT, b=0.029 m³/mol. At T=500°C, V=5m³, n=100mol, the isobaric rate of change of temperature with volume (°C/m³) is (rounded off to second decimal place)
368.2 °C/m^3(± 1 accepted)
Explanation
P=nRT/(V−nb)=100×8.314×773.15/(5−2.9)=642,797/2.1=306,094Pa. At const P: dT/dV=P/(nR)=306,094/831.4=368.2 °C/m³.
Source: GATE CH 2018 (2018)
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