A fuel injection car engine has a piston as shown by the schematic drawing below. Air and Fuel are injected into the chamber above the piston, the ignition coil engages and causes the spark plug to generate a spark, resulting in the combustion of the fuel and air. The combustion produces carbon dioxide and water and a high pressure on the piston which pushes the piston down and gives momentum to the crankshaft. The momentum from the crankshaft causes the piston to rise back to the top, ejecting the unburned air and the generated carbon dioxide and water through the exhaust. The exhaust gas is then released into the catalytic converter for purification and is released into the atmosphere.

Air enters the system at a rate of $\backslash (14\mathrm{.}7\backslash$mathrm$\{$lb$\}/\backslash$mathrm$\{$hr$\}\backslash )$ and the fuel enters at a rate of $\backslash (1\backslash$mathrm$\{$lb$\}/\backslash$mathrm$\{$hr$\}\backslash ).$ Assume the air entering the engine is not completely burned and $\backslash (0\mathrm{.}7\backslash$mathrm$\{$lb$\}/\backslash$mathrm$\{$hr$\}\backslash )$ of air leaves the exhaust with the generated carbon dioxide and water. Assuming the catalytic converter is broken and does not remove any gases from the system, and the piston is immediately pushing all of the exhaust gases out of the system, what is the mass flow rate of exhaust leaving the engine? Use the correct number of significant digits.