Centroids equation, Please send screenshot or picture of work.

Apiston-cylinder with a volume of 0.25 m3 holds 1 kg of air (r 0.287 k/kgk) at a temperature of 100 c. heat transfer to the cylinder causes an isothermal expansion of the piston until the volume triples. how much heat is added to the piston-cylinder?

Arigid tank contains 10 kg of air at 137 kpa (abs) and 21°c. more air is added to the tank until the pressure and temperature rise to 242 kpa (abs) and 32°c, respectively. determine the amount of air added to the tank. [r-0.287 kj/kg k]

Aload of 10kn is to be suddenly applied to the free end of a vertical rod of length 500 mm, the upper end being rigidly fixed. 190 mechanical science what should the diameter of the rod be if the maximum stress in the rod is not to exceed 100 mpa? the tensile modulus of the rod is 205 gpa.