Project ForgeFluid Mechanics
Bernoulli's Equation
GATE 2018
Hard
A vertical isothermal tube (L=100m) contains an ideal gas (M=60 g/mol). Top: P=100kPa, T=25°C. The pressure (kPa) at the bottom is (rounded off to third decimal place)
102.4 kPa(± 0.05 accepted)
Explanation
Isothermal barometric formula: P_bottom=P_top·exp(MgL/(RT))=100×exp(0.060×9.81×100/(8.314×298.15))=100×exp(0.02375)=102.40 kPa.
Source: GATE CH 2018 (2018)
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