A compressed-air store is designed for rather than

PHYSICS · Multi-part · Fermi University Physics · Earth, Climate & Energy Physics · Energy systems, storage and demand · Energy systems, storage and demand

Energy from Physics, Ch Storing energy: cells, rotors, air, heat and hydrogen

Problem

A compressed-air store is designed for

40\,\mathrm{bar}

rather than

70\,\mathrm{bar}

, filled from

p_0 = 1\,\mathrm{bar}

with air taken in at

300\,\mathrm{K}

. ((a)) Find the isothermal work stored per cubic metre of cavern for a rigid cavern and for a constant-pressure cavern at

40\,\mathrm{bar}

. ((b)) Find the temperature at which the air would leave a single adiabatic compression stage to

40\,\mathrm{bar}

, taking

\gamma = 1.4

. ((c)) By what factor does raising the storage pressure from

40

70\,\mathrm{bar}

raise the rigid cavern's stored energy per cubic metre?

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