Assume Lake Superior contains 1.20 ✕ 1013 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 18.0°C to 23.0°C? J (b)How many years would it take to supply this amount of energy by using a power of 1,200 MW generated by an electric power plant
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- Consider the change in the internal energy of a system. -What is the change in the internal energy, in joules, of a system that does 4.725 × 105 J of work, while 3.2 × 106 J of heat is transferred into the system and 7.8 × 106 J of heat is transferred from the system to the environment?A sample of 5.25 kilograms of water at 6.00°C is placed in the freezer. Assuming all energy removed from the freezer is removed from the water, how long does the 1/5 horsepower (HP) motor (1 HP = 746 Watts) have to run to cool all of the liquid to ice at 0.00°C? The freezer has a COP of 5.00.A gas burner transfers 9.40 ✕ 105 J into a block of ice with a mass of 2.00 kg and an initial temperature of 0°C. (a) How much of the energy (in J) supplied by the burner goes into melting all the ice into liquid water? (Enter your answer to at least three significant figures.) (b) How much of the energy (in J) supplied by the burner goes into raising the temperature of the liquid water? (Enter your answer to at least three significant figures.) (c) What is the final temperature of the liquid water in degrees Celsius?
- Suppose that you have left a 200 mL cup of coffee sitting until it has cooled to 30◦ C, which you find totally unacceptable. Your microwave oven draws 1100W of electrical power when it is running. If it takes 45s for this microwave oven to raise the temperature of the coffee to 60◦ C, what is the efficiency of heating with this oven? You will need to use the fact that 4.2 J of energy is required to raise the temperature of 1.0 mL of coffee by 1.0◦ C.Assume 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. yrAssume Lake Superior contains 1.20 ✕ 1013 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 14.0°C to 21.2°C? 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? yr
- Lake Erie contains roughly 4.00 x 10¹1 m³ of water. (a) How much energy is required to raise the temperature of that volume of water from 14.2°C to 21.2°C? (Assume the density of this water to be equal to that of water at 20°C and 1 atm.) J (b) 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? yrIn testing a new drug, you heat a 0.5-kilogram sample using a hot plate. Assume no energy is lost in the process (i.e. the process is 100% efficient). The corresponding change in temperature and energy readings observed during the heating process are graphed as shown. Watch your units!!!! 16000 14000 12000 10000 8000 Q= 72 AT 6000 4000 2000 100 150 200 250 Change in Temperature (AT) [deg F] What is the specific heat capacity of the fluid in units of joules per gram kelvin? Hint: compare the trendline equation to the thermal energy equation. * A Energy (Q) [J]Suppose 9.30 x 105 J of energy are transferred to 2.00 kg of ice at 0°C. (a) Calculate the energy required to melt all the ice into liquid water. (b) How much energy remains to raise the temperature of the liquid water? (c)Determine the final temperature of the liquid water in Celsius.
- Large meteors sometimes strike the Earth, converting most of their kinetic energy into thermal energy. (a) What is the kinetic energy of a 109kg meteor moving at 25.0 km/s? (b) If this meteor lands in a deep ocean and 80% of its kinetic energy goes into heating water, how many kilograms of water could it raise by 5.0°C?A container holding 4.20 kg of water at 20.0°C is placed in a freezer that is kept at -20.0°C. The water freezes and comes to thermal equilibrium with the interior of the freezer. What is the minimum amount of electrical energy required by the freezer to do this if it operates between reservoirs at temperatures of 20.0°C and –-20.0°C? (Latent heat of fusion of ice = capacity of water = 4186 J/(kg K), specific heat capacity of ice = 2100 J/(kg K)). 333,700 J/ kg, specific heat kJ