A leak of 5 mm has been detected in the compressed air distribution lines. Determine the payback period for repairing the leak. Assume an isothermal compression. Use the following information:
• The total cost of the leak repair is $150.
• The annual average compressed air temperature and absolute pressure are 20°C and 900 kPa, respectively.
• The compressor is operating 3,000 hours per year with an average load factor of 70 percent.
• The annual average ambient air temperature and pressure are 15°C and 100 kPa, respectively.
• The electrical motor efficiency is 90 percent.
• The cost of electricity is $0.05/kWh.