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In a reversible non-flow process with a gas, the initial pressure and specific volume are 270 psia and 4 cu. ft/lb, respectively. The final pressure and specific volume are 80 psia and 9 cu. ft/lb. The process is defined by the equation pv^(3/2)=C, where p and v are simultaneous values of pressure and specific volume at any instant during the process and C is a constant.

Find the work done on or by the gas during the process, BTU/lb.