A scientist extracts 220 grams of aluminum nuggets from a furnace heated to 400°C and quickly places them into 150 mL of water at 15°C within a thermally insulated container. Determine the resulting equilibrium temperature of the water after the aluminum nuggets are added.

You are preparing water for dishwashing at home. You place 4.50 kg of water whose temperature is 8.0°C in an insulated pale. The desired final temperature of the water is 61°C. Determine the quantity of boiling water (100.0°C) that will heat the water to the desired temperature.

A blacksmith places a 390-gram iron horseshoe inside a tank that contains 5.0 liters of water at 298 K. A thermometer shows a fast increase in the water temperature, reaching a value of 301 K. Determine the original temperature in degrees Celsius and Fahrenheit of the horseshoe before it was immersed in water.

The temperature of water in a Styrofoam cup increases from 30 °C to 33 °C when a 10 g cylinder of unknown metal at 430 °C is dropped in the water. The mass of the water is 250 g. The mass of the Styrofoam cup is 8.1 g, and its specific heat capacity is 1131 J/kg•K. Assume that the cup is a perfect thermal insulator. Calculate the specific heat capacity of the unknown metal (c_metal).