Arigid tank contains 3.52 kg of an ideal gas. the volume of the tank is v1 = 1.20 m^3 and initially the gas is at a pressure of p1 = 225 kpa. the tank is charged by adding 0.74 kg of the same gas at which point the new pressure is 450 kpa and the new temperature is 153.94 °c. determine the gas constant, r, a possible identity of the gas, the original temperature, t1, the original density, rho1, and the original specific volume, v1. lastly, express the final temperature in each of the other common temperature units: °f, k, and r.

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?