Estimate the amount of heat (in J) required to raise 2kg of α-iron from room temperature (25∘C) to100∘C.

A mFe = 0.16 kg mass of iron is heated to 100∘C and then placed in a Styrofoam cup containing mw = 0.50 kg of water. Initially, the water and has a temperature of 27∘C. Find the equilibrium temperature of the system.  cw = 4186 J/kg∘C and cFe = 460 J/kg∘C.

Lake Erie contains roughly 4.00 ✕ 1011 m3 of water. How much energy is required to raise the temperature of that volume of water from 18.0°C to 21.0°C? How many years would it take to supply this amount of energy by using the 1,400-MW exhaust energy of an electric power plant?

A shipment from Earth to Mars contains a 50 gallon​ [gal] tank filled with an ideal gas. The molecular weight of the ideal gas is 15.9 grams per mole​ [g/mol]. NASA tells the astronauts on Mars that the tank and gas combined had an initial total mass of 5 kilograms​ [kg] and the pressure was 3 atmospheres​ [atm] before it left the Earth. During the​ trip, the temperature was kept constant at 20 degrees Celsius ​[°​C]. When it arrives on​ Mars, the astronauts check the sensors and discover the pressure is 2.2 atmospheres​ [atm] and the temperature is 20 degrees Celsius ​[°​C]. Based on this​ information, the astronauts determine that some of the gas leaked during shipment. Determine how much gas leaked from the tank in units of grams​ [g]. Gravity on Mars​ = 3.71 meters per second squared​[m/s2​].