Thermodynamics Question

Question

A reservoir contains 2.83 cu. m of carbon monoxide at 6895 kPa and 23.6 degrees celsius. An evacuated tank is filled from the reservoir to a pressure of 3497 kPa and a temperature of 12.4 degrees celsius, while the pressure in the reservoir decreases to 6205 kPa and the temperature to 18.3 degrees celsius. What is the volume of the tank? R for CO is 296.92 j/kg.k

Answer 1

P₁V₁/T₁ = P₂V₂/T₂; V₂ = P₁V₁T₂/(T₁P₂) = 6895kPa·2.83m³·(18.3 + 273)K/((12.4+273)K·3497kPa) = 5.7 m³