Steam at 100°C is condensed into a 62.0 g steel calorimeter cup containing 200 g of water at 29.0°C. Determine the amount of steam (in g) needed for the system to reach a final temperature of 56.0°C. The specific heat of steel is 490 J/(kg · °C).

There is an 500g container made out of aluminum holding 300g of water. The Water and Aluminum have reached thermal equilibrium at 40 degrees Celsius. A 200g block of iron at a temperature of 0 degrees Celsius is later dropped into the water. Using the specific heat for water=4180J/kg/C. The specific heat for aluminum is 900 J/kg/C. The specific heat for iron is 450 J/kg/C. The final temperature of the three materials will be degrees celsius. The thermal energy of the water changes by Joules. (give an amount and include a + if it increases and a - if it decreases) The thermal energy of the aluminum changes by Joules. (give an amount and include a + if it increases and a - if it decreases) The thermal energy of the iron changes by Joules. (give an amount and unit and include a + if it increases and a - if the value decreases)

In a turbine 1,308 kW is produced by expanding an exhaust gas entering at 2.2 MPa and 662 K to a final pressure of 154 kPa. The inlet area of the turbine is The inlet area of the device is 0.2 m2 and the gas velocity at inlet is 25 m/s and at outlet is 51 m/s. Determine the specific volume at outlet in m3/kg to 2 decimal places.  Assume the gas constant to be 0.26 (kPa m3)/(kg K) and constant specific heats cp=1.01 kJ/(kg K) and cv=0.75 kJ/(kg K).

During processing in a steel mill, a 900 lb steel casting at 800°F is quenched by plunging it into a 550 gal oil bath, which is initially at a temperature of 100°F. After the casting cools and the oil bath warms, what is the final temperature of the two? The weight per unit volume of the oil is 7.5 lb/gal. (Express your answer using four significant figures.) T F