Helium contained in a closed, rigid tank, initially at 50°C, 5 bar, and a volume of 2 m3, is heated to a final pressure of 8 bar. Assume the ideal gas model for the helium. Kinetic and potential energy effects can be ignored. Determine the mass of the helium, in kg, and the heat transfer, in kJ.

An engine, weighing 3000 n, is supported on a pedestal mount. it has been observed that the engine induces vibration into the surrounding area through its pedestal at the maximum operating speed. determine the stiffness of the dynamic vibration absorber spring in (n/m) that will reduce the vibration when mounted on the pedestal. the magnitude of the exciting force is 250 n, and the amplitude of motion of the auxiliary mass is to be limited to 2 mm note: in this question type-in right numbers, no decimals, no fractions, no unit. approximate to right number if needed