A $4.00$-kg silver ingot is taken from a furnace, where its temperature is $750.0$°C, and placed on a large block of ice at $0.0$°C. Assuming that all the heat given up by the silver is used to melt the ice, how much ice is melted?

A laboratory technician drops a $0.0850$-kg sample of unknown solid material, at $100.0$°C, into a calorimeter. The calorimeter can, initially at $19.0$°C, is made of $0.150$ kg of copper and contains $0.200$ kg of water. The final temperature of the calorimeter can and contents is $26.1$°C. Compute the specific heat of the sample.

An asteroid with a diameter of 10 km and a mass of 2.60 × 10¹⁵ kg impacts the earth at a speed of 32.0 km/s, landing in the Pacific Ocean. If 1.00% of the asteroid's kinetic energy goes to boiling the ocean water (assume an initial water temperature of 10.0°C), what mass of water will be boiled away by the collision? (For comparison, the mass of water contained in Lake Superior is about 2 × 10¹⁵ kg.)

A carpenter builds an exterior house wall with a layer of wood $3.0$ cm thick on the outside and a layer of Styrofoam insulation $2.2$ cm thick on the inside wall surface. The wood has $k=0.080W/m\cdot K$ , and the Styrofoam has $k=0.027W/m\cdot K$. The interior surface temperature is $19.0$°C, and the exterior surface temperature is $-10.0$°C. What is the temperature at the plane where the wood meets the Styrofoam?

A carpenter builds an exterior house wall with a layer of wood $3.0$ cm thick on the outside and a layer of Styrofoam insulation $2.2$ cm thick on the inside wall surface. The wood has $k=0.080\,W/m\(\cdot\) K$ , and the Styrofoam has $k=0.027\,W/m\(\cdot\) K$. The interior surface temperature is $19.0$°C, and the exterior surface temperature is $-10.0$°C. What is the rate of heat flow per square meter through this wall?

Two rods, one made of brass and the other made of copper, are joined end to end. The length of the brass section is $0.300$ m and the length of the copper section is $0.800$ m. Each segment has cross-sectional area $0.00500$ m². The free end of the brass segment is in boiling water and the free end of the copper segment is in an ice–water mixture, in both cases under normal atmospheric pressure. The sides of the rods are insulated so there is no heat loss to the surroundings. What mass of ice is melted in $5.00$ min by the heat conducted by the composite rod?

An insulated beaker with negligible mass contains $0.250$ kg of water at $75.0$°C. How many kilograms of ice at $-20.0$°C must be dropped into the water to make the final temperature of the system $40.0$°C?