A 150KG STEEL ROD IN A BUILDING UNDER CONSTRUCTION SUPPORTS A LOAD OF 6050KG. DURING THE DSY THE RODS TEMP. INCREASES FROM 22C TO 47C CAUSING THE ROD TO THERMAALLY EXPAND AND RAISE THE LOAD 5.5mm. FIND THE EGERHU TRANSFER AS HEAT TO OR FROM THE ROD. THE SPECIFIC HEAT CAPACITY OF STEEL IS THE SAME AS FOR IRON.

b. FIND THE WORK DONE IN THIS PROCESS. IS WORK DONE ON OR BY THE ROD?
c. HOW GREAT IS THE CHANGE IN THE RODS INTERNAL ENERGY? DOES THE RODS INTERNAL ENERGY INCREASE OR DECREASE?

1 answer

a. The energy transfer as heat to or from the rod is equal to the change in the rod's internal energy, which is equal to the product of the mass of the rod, the specific heat capacity of steel (which is the same as for iron), and the change in temperature. Therefore, the energy transfer is equal to 150 kg x 0.45 J/g°C x (47°C - 22°C) = 16,425 J.

b. The work done in this process is equal to the product of the load, the distance the load is raised, and the acceleration due to gravity. Therefore, the work done is equal to 6050 kg x 5.5 mm x 9.8 m/s2 = 3,093 J. The work is done by the rod.

c. The change in the rod's internal energy is equal to 16,425 J. The rod's internal energy increases.