#### Fig shows a cylinder of 8 cm inside diameter having a piston loaded with a spring (stiffness = 150 N/cm of compression). The initial pressure, volume and temperature of air in the cylinder are 3 x 10^{5} N/m^{2}, 0.000045 m^{3} and 2o°C respectively. Determine the amount of heat added to the system so that piston moves by 3.5 cm. Assume c_{p} = 0.71 kJ/kg K and R = 0.287 kJ/kg K.

Fig shows a cylinder of 8 cm inside diameter having a piston loaded with a spring (stiffness = 150 N/cm of compression). The initial pressure, volume and temperature of air in the cylinder are 3 x 10^{5} N/m^{2}, 0.000045 m^{3} and 2o°C respectively. Determine the amount of heat added to the system so that piston moves by 3.5 cm.

Assume c_{p} = 0.71 kJ/kg K and R = 0.287 kJ/kg K.

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