A gasoline engine operates steadily on a mixture of isooctane and air. The air and fuel enter the engine at 25 C. The fuel consumption is 0.15 g/s. The output of the engine is 1.0 kW. The temperature of the combustion products in the exhaust manifold is 700 K. At this temperature, an analysis of the combustion products yields the following values (on a dry volumetric basis). CO= 2.9%; CO2= 11.4%; O2= 1.6%; N2=84.1%

a. Find the number of moles of each of the reactants and the products species per mole of isooctane.
b. Determine the heat transfer rate from the working fluid as the working fluid passes through the engine.

Tom is having a problem with his washing machine. he notices that the machine vibrates violently at a frequency of 1500 rpm due to an unknown rotating unbalance. the machine is mounted on 4 springs each having a stiffness of 10 kn/m. tom wishes to add an undamped vibration absorber attached by a spring under the machine the machine working frequency ranges between 800 rpm to 2000 rpm and its total mass while loaded is assumed to be 80 kg a) what should be the mass of the absorber added to the machine so that the natural frequency falls outside the working range? b) after a first trial of an absorber using a mass of 35 kg, the amplitude of the oscillation was found to be 10 cm. what is the value of the rotating unbalance? c) using me-3.5 kg.m, find the optimal absorber (by minimizing its mass). what would be the amplitude of the oscillation of the absorber?