Lava at TH= 1050° C emerges from a volcano. A mass m = 65 kg of this lava flows at a constant ve ng Q = 12250 J of heat every second to the surroundings. The lava flows a distance of 250 m before reaching the temperature of the surroundings, T.. = 23° C is unaffected by the cooling of the lava.
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- To treat a burn on his hand, a person decides to place an ice cube on the burned skin. The mass of the ice cube is 16.8 g, and its initial temperature is -10.7 °C. The water resulting from the melted ice reaches the temperature of his skin, 29.4 'C. How much heat is absorbed by the ice cube and resulting water? Assume that all of the water remains in the hand. Constants for water can be found in this table.A 1.50 kg block of ice initially at a temperature of 0 °C is placed inside an apparatus that allows 150 kJ of heat to flow into the ice. What mass of ice melts as a result? O 0.45 kg O 0.75 kg O 1.33 kg O 2.23 kg O 1.00 kgAssume Lake Michigan contains 4.90 x 1012 m³ of water, and assume the water's density is that of water at 20°C and 1 atm. (a) How much energy (in J) is required to raise the temperature of that volume of water from 12.2°C to 24.4°C? 4.1E19 From the density of water and the volume, what is the mass of the water? What is specific heat? How is it related to the energy input, mass, and temperature change? Use it to solve for the energy. Be careful with units. J (b) How many years would it take to supply this amount of energy by using a power of 1,400 MW generated by an electric power plant? 926 How is power related to energy and time? Knowing the energy from part (a), can you find the time? Be careful with units. Make sure you convert the time in seconds to years. yr
- temperature is 330 K. Find the heat loss per unit area and the temperature of the junction of the fire brick and insulating brick? RO 5. In Sohar Petroleum Company, a steam pipeline, with 150 mm ID and 160 mm OD carries steam. The pipeline is surrounded with a layer of heat insulating material (K=0.08 W/m.k) of thickness 100 mm. The temperature drops from 392.8 K to 313 K across the insulating surface. Determine the rate of heat loss per 1 m length of pipe line. ID = 1Somm 160 mm OD,h-loo mm .K=0.08w/m.k %3D 「-392.8 ん/ 12 = 313k = 313 K 2.A homeowner is unhappy with her heating costs. One wall of her house is 4 meters tall and 8 meters wide and has no windows, and it is made of brick and mortar with a thermal conductivity of 1.0 W m K . It is 40 cm thick. The house is heated to a temperature of 20 ◦C inside. (a) What is the rate of heat loss through the wall on a day when it is 0◦C outside? (b) A layer of rock mineral wool, which has a thermal conductivity of 0.032 W m K is to be installed on the interior surface of the brick wall. How thick should the layer be to lower the rate of heat transfer through this wall to half its original value? (c) If the rock mineral wool is instead installed on the outer surface, is the thickness required the same?Indigenous people sometimes cook in watertight baskets by placing hot rocks into water to bring it to a boil. What mass of 500.0C rock must be placed in 4.00 kg of 15.0C water to bring its temperature to 100.0C, if 0.0250 kg of water escapes as vapor from the initial sizzle? You may neglect the effects of the surroundings and take the average specific heat of the rocks to be that of granite.
- A 1.82 m wide by 1.11 m high metal plate must be insulated to prevent contact burn injuries. If the heat transfer rate is 136 W and the temperature across the insulation must be reduced from 87.3°C to 40.3°C, what is the minimum thickness (in cm) of insulation required [round your final answer to two decimal places]? {kins = 0.031 W/m∙K}A 200 g iceball can be launched from a custom launcher at 250 m/s. The iceball is initially at -5oC when it is shot vertically upwards, and by the time the iceball starts to fall down again 10 g of the ice has melted away. What is the maximum height of the iceball? The specific heat of ice is 2100 J/(kg oC) and the latent heat of fusion for ice is 334,000 J/kg.