A student drops two metallic objects into a 120-g steel container holding 150 g of water at 25°C. One object is a 160-g cube of copper that is initially at 91°C, and the other is a chunk of aluminum that is initially at 5.0°C. To the surprise of the student, the water reaches a final temperature of 25°C, precisely where it started. What is the mass of the aluminum chunk?  ?kg

P3. After a particularly cold night, Alice leaves a tub of water outside. You may consider the ground and air to have temperatures of T. = -10°C and T = 10°C respectively. How thick is the layer of ice that forms at the bottom of the tub of water, after the tub has been left outside for a long time? The tub of water initially has a layer of water of thickness họ = 10 cm. You may assume that the ground and air remain at a constant temperature throughout, and that the side lengths of the tub a, b > ho, i.e. the heat conduction is one- dimensional. Density of ice and water are Pice = 920 kg/m³ and Pw = 1000 kg/m³. Ice and water have thermal conductivities of kice = 2.22 WK-1m-1 and kiw = 0.556 W K-1m-1.

A glass coffee pot has a 9.00 cm diameter circular bottom in contact with a heating element that keeps the coffee warm with a continuous 50.0-W heat input. (a) What is the temperature of the bottom of the pot, if it is 2.90 mm thick and the inside temperature is 67.8°C? The thermal conductivity of the pot is 0.84 J/(s · m · °C). *Answer in °C, please

A 0.290 kg aluminum bowl holding 0.815 kg of soup at 25.0°C is placed in a freezer. What is the final temperature (in °C) if 391 kJ of energy is transferred from the bowl and soup, assuming the soup's thermal properties are the same as that of water?     °C

A copper sample (ccu = 387 J/kg•K) of mass mẹ = 75 g and temperature Te = 312ºC is dropped into a glass beaker that contains a mass of water me = 220 g (cw = 4190 J/kg•K). %3D The initial temperature of the water and the beaker is Tw,b = 12.0°C. What is the final temperature of the copper, beaker, and water? * The heat capacity (the specific heat times the mass) of the beaker is Cb' = 190 J/K.

A hot air balloon uses the principle of buoyancy to create lift. By making the air inside the balloon less dense then the surrounding air, the balloon is able to lift objects many times its own weight. A large hot air balloon has a maximum balloon volume of 2090 m3. a.  If the air temperature in the balloon is 54 °C, how much additional mass, in kilograms, can the balloon lift? Assume the molar mass of air is 28.97 g/mol, the air density is 1.20 kg/m3, and the air pressure is 1 atm.

Water vapor at 100 degrees Celsius is put in contact with ice at 0 degrees Celsius and this mixture eventually results in 45 kg of liquid water at 30 degrees Celsius.  A. How many kilograms of ice were part of the mixture? B. How many kilograms of steam were part of the mixture?