On a certain dry sunny day, a swimming pool's temperature would rise by 1.50°C if not for evaporation. What fraction of the water must evaporate to carry away precisely enough energy to keep the temperature constant?
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Q: On a certain dry sunny day, a swimming pool’s temperature would rise by 1.50 °C if not for…
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Q: #6. My buddy is starting to backcountry ski adventure. Si get in a sleeping bag with hin will be…
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- A styrofoam cooler (k = 0.030 W/(m-°C) has outside dimensions of 0.170 m x 0.250 m x 0.260 m, and an average thickness of 2.0 cm. How long will it take for 1.10 kg of ice at -5.0°C to melt (to water at 0°C) in the cooler if the outside temperature is 34.0°C? Assume that ice temperature increases linearly from -5.0°C to 0°C. Neglect any temperature change of the air in the cooler. Data: Specific heat of ice is 2050 J/(kg-K). Laten heat of fusion of water is 3.34×105 J/kg.In Dexter’s lab, he pours 1.65kg of molten gold at 1063°C into a 1.30kg iron cauldron filled with 2.70kg of water both at 15.0°C. At the same moment he drops a 0.400kg piece of ice initially at -20.0°C into the cauldron and begins to stir. If we treat the cauldron and its contents as a calorimeter, what will be the final temperature for the system in degrees Celsius?#6. My buddy is starting to get hypothermic (body temperature 306 K) during an epic backcountry ski adventure. Since I'm quite warm (body temperature 310 K), I decide to get in a sleeping bag with him to try and warm him up. What heat transfer mechanism will be most responsible for heating him up? For simplicity, ignore any internal temperature differences across my body (that is, assume my skin temperature is also 310 K). Use num- bers to support your answer (for human skin, you can use the following values: surface area A = 1.50 m², emissivity € = 0.970, thickness d = 0.0250 m, thermal conductivty 0.200 ms.K) J
- 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. yrBecause water is a much more efficient thermal conductor than air, marine mammals often have thick layers of blubber (under-skin fat, with a thermal conductivity of 0.250 W/(m °C)) and a small surface-to-volume ratio to minimize the loss of energy by heat to the surrounding water. The beluga whale, Delphinapterus leucas, is a species of whale native to the Arctic and sub-Arctic regions. The core body temperature of this whale is usually 37.0°C, and its basal metabolic rate (BMR) is 7.30 x 104 kJ/day. The beluga often finds itself near the Arctic ice sheet, where the water temperature is very close to 0°C. (a) Modeling the body of the whale as a cylinder of length h = 4.10 m and diameter d = 1.20 m,estimate the average thickness (in cm) of the beluga's blubber required to keep the core temperature of the whale fixed at 37.0°C. (For simplicity, treat the blubber layer on the lateral cylindrical surface as a rectangular slab with a constant area. Take the front and rear surfaces of the…A 365-g sample of an unknown (nongaseous) material experiences a 16.0°C increase in temperature after absorbing 9.93 ✕ 103 J of energy. (a) What is the specific heat of this material? J/(kg · °C)(b) Which substance listed in the specific heat and molar specific heat table best matches the specific heat of this unknown material? mercurysilver brassgraniteglassaluminumwoodseawater
- The "steam" above a freshly made cup of instant coffee is really water vapor droplets condensing after evaporating from the hot coffee. What is the final temperature of 205 g of hot coffee initially at 98.0°C if 3.18 g evaporates from it? The coffee is in a Styrofoam cup, and so other methods of heat transfer can be neglected. Assume that coffee has the same physical properties as water; its latent heat of vaporization is 539 kcal/kg and its specific heat is 1.00 kcal/(kg · °C).A 0.100 kg piece of ice at initial temperature −5.00 ◦C is placed in a perfectly insulated container with 1.00 kg (1 L) of water at initial temperature 20.0 ◦C. The container absorbs or releases no heat. All of the ice melts as the system reaches an equilibrium temperature Tf . How much heat must the ice exchange with the rest of the system to raise its temperature to the melting point, 0.00 ◦C? Would this heat exchanged be positive, zero, or negative? Once the ice reaches its melting point, how much heat must the ice exchange with the rest of the system to melt? Would this heat exchanged be positive, zero, or negative? Once the ice melts, it is liquid water at 0.00 ◦C. Write an expression for the heat exchanged by the newly-melted ice QI to reach the equilibrium temperature Tf . Would you expect QI to be positive, zero, or negative? Write an expression for the heat exchanged by the original water QW to reach the equilibrium temperature Tf from its initial temperature. Assuming no…One strategy when on a diet is to drink ice water. The body must burn calories to warm the water from 32 °F to a body temperature of 98.6 °F. Assume a dieter drinks 2.4 kg (2.4 L) of ice water every day. How much energy, in Cal, does the dieter's body need to provide in order to warm the 2.4-L-water. (The specific heat of water is 4186 J/kg • °C; 1J = 0.000239 Cal.) Show your work.
- A 1.19-kg sample of water at 13°C is in a calorimeter. You drop a piece of steel with a mass of 0.31 kg at 224°C into it. After the sizzling subsides, what is the final equilibrium temperature? Make the reasonable assumptions that any steam produced condenses into liquid water during the process of equilibration and that the evaporation and condensation taken together don't affect the outcome, as we'll see later. Hint The final equilibrium temperature of water and steel is °C. If the water is in a glass beaker with a mass of 0.2 kg, which in turn is in a calorimeter, with the beaker at the same temperature as the water, how will this affect the answer? Try answering before doing a detailed calculation. Final temperature will be higher but not significantly so. Final temperature will be significantly lower. Final temperature will be lower but not significantly so. Final temperature will be significantly higher. Using the setup in (b), the final equilibrium temperature of…A typical nuclear reactor generates 1000 MW of electric energy. In doing so, it produces “waste heat” at a rate of 2000 MW, and this heat must be removed from the reactor. Many reactors are sited next to large bodies of water so that they can use the water for cooling. Consider a reactor where the intakewater is at 18°C. State regulations limit the temperature of the output water to 30°C so as not to harm aquatic organisms. How many kilograms of cooling water have to be pumped through the reactor each minute?