A plant is considering installing a butane storage sphere to be located \(100 \mathrm{~m}\) from the control room building. You are asked to review the consequences of a vapor cloud explosion involving all of the sphere's inventory of butane. The control room building is designed only for a \(3 \mathrm{psi}(20.7 \mathrm{kPa})\) overpressure. What is the maximum quantity of butane (in \(\mathrm{kg}\) ) that can be stored without exceeding the 3 psi pressure specification?

Data for butane: LHV of \(-2657.5 \mathrm{~kJ} / \mathrm{mol}\) (from Appendix B)

Data From Appendix B:

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Paraffin hydroca rbons Fo rm ula Compo Lowe Uppe und rrb Heat of combustion (kJ/mol) Flammability limit" (vol. % fuel in air) e LFL Metha CH -802. -890. 5.0 ne 3 3 4 Ethane C -142 -155 3.0 9.8 H 8.6 1.4 UFL Propan C3 204 -221 2.1 9.9 Hg 3.1 e Butane C4 -265-287 1.8 7.5 H10 7.5 Isobuta C -264 -286 1.8 8.4 ne H0 9.0 9.0 Pentan C -324 -353 6.6 H12 5.0 Isopent C -324 -352 1.4 ane H2 0.3 7.6 15.0 12.5 9.5 8.5 7.8 7.6 Flash point Autoignition temperatur temperature el C a C -188 -135 -104 -60 -83 -40 -57 600 515 450 405 460 260 420