As shown in fig. p3.119, a piston-cylinder assembly whose piston is resting on a set of stops contains 0.5 kg of helium gas. initially at 100 kpa and 25 degree c. the mass of the piston and the effect of the atmospheric pressure acting on the piston are such that a pressure of 500 kpa is required to raise it. how much energy must be transferred by heat to the helium, in kj. before the piston starts rising? assume ideal gas behavior for the helium.

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