An automobile engine provides 553 Joules of work to push the pistons and generates 2294 Joules of heat that must be carried away by the cooling system. Calculate the change in the internal energy of the engine. AE = Joules

A 45.90 g sample of pure copper is heated in a test tube to 99.40°C. The copper sample is then transferred to a calorimeter containing 61.04 g of deionized water. The water temperature in the calorimeter rises from 24.51°C to 29.10°C. The specific heat capacity of copper metal and water are J and 4.184 J respectively. g• °C 0.387 g• °C Assuming that heat was transferred from the copper to the water and the calorimeter, determine th heat capacity of the calorimeter. Heat capacity of calorimeter =

An insulated container is used to hold 42.7 g of water at 20.5 Celsius. A sample of copper weighing 9.60 g is placed in a dry test tube and heated for 30 minutes in a boiling water bath at 100.0 Celsius. The heated test tube is carefully removed from the water bath with laboratory tongs and inclined so that the copper slides into the water in the insulated container. Given that the specific heat of solid copper is 0.385 J/(g.Celsius), calculate the maximum temperature of the water in the insulated container after the copper metal is added.

Calculate the energy required to heat  180.0g  of iron from  1.3°C  to  11.2°C . Assume the specific heat capacity of iron under these conditions is  ·0.449J·g−1K−1  . Be sure your answer has the correct number of significant digits.