Air is compressed from 1 atm to 6 atm, resulting to a temperature increase in the amount of 100 deg C from initial temperature of 25 deg C and volume of 20 liter.  How much volume in liters would it occupy after compression? Note that air can be safely assumed as an ideal gas.

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Air as an ideal gas is contained in a piston/cylinder system constrained by a non-linear spring. Initially the gas in the cylinder is at 100 kPa, which is balanced by the atmospheric pressure outside of the cylinder (the weight of the piston is negligible). The force on the spring at the start is zero. The spring force is F=kx². k=600. kNt/m². The cross-sectional area of the piston is 1 m², the initial volume is 1 m³, and the initial temperature is 300 K. Heat is added until the volume of the gas has expanded to 1.5 m³. Find: (a) The work done by the gas on the face of the piston (kJ). (b) The final temperature (K). (c) The amount of heat added (kJ). Hint: This problem is easiest if you calculate the spring work and the atmospheric work separately. Air V₁=1.0 m³ Piston Area = 1.0 m² T₁=300 K P₁=100 kPa Atmospheric P on upper piston face= 100 kPa