3. A alead metal (specific heat capacity 130 J ⁄ kg ⁄ °C) of mass 8 kg is dropped from a height of 90 m. As it hits the ground, it absorbs half of its kinetic energy as heat energy. By how much does its temperature increase?
8. Calculate the amount of heat energy required to change 1.77 kg of ice at a temperature of -45 °C to water at a temperature of 10 °C. (specific heat capacities of ice, water and steam are 2090, 4180, 2010 J ⁄ kg ⁄ °C respectively. Latent heat of fusion and vaporization of water are 3.34e5, 2.26e6 J ⁄ kg respectively.)
9. Calculate the amount of heat energy required to change 1.333 kg of ice at a temperature of -30 °C to steam at a temperature of 160 °C. (specific heat capacities of ice, water and steam are 2090, 4180, 2010 J ⁄ kg ⁄ °C respectively. Latent heat of fusion and vaporization of water are 3.34e5, 2.26e6 J ⁄ kg respectively.)
11. A rod made of copper (thermal conductivity 397 J ⁄ s ⁄ m ⁄ °C) has a length of 2.8 m and a cross-sectional radius of 0.0125 m. Its left end and right end are at temperatures of 20 °C and 90 °C respectively. Calculate the amount of energy transferred from the left end to the right end in 60 minutes.