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BIO Before going in for his annual physical, a 70.0-kg man whose body temperature is 37.0°C consumes an entire 0.355-L can of a soft drink (mostly water) at 12.0°C. (a) What will his body temperature be after equilibrium is attained? Ignore any heating by the man’s
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- An ideal gas initially at 300 K undergoes an isobaric expansion at 2.50 kPa. If the volume increases from 1.00 m3 to 3.00 m3 and 12.5 kJ is transferred to the gas by heat, what are (a) the change in its internal energy and (b) its final temperature?arrow_forwardOne way to cool a gas is to let it expand. When a certain gas under a pressure of 5.00 106 Ha at 25.0C is allowed to expand to 3.00 times its original volume, its final pressure is 1.07 106 Pa. (a) What is the initial temperature of the gas in Kelvin? (b) What is the final temperature of the system? (See Section 10.4.)arrow_forwardOne of a dilute diatomic gas occupying a volume of 10.00 L expands against a constant pressure of 2.000 atm when it is slowly heated. If the temperature of the gas rises by 10.00 K and 400.0 J of heat are added in the process, what is its final volume?arrow_forward
- For a temperature increase of 10 at constant volume, what is the heat absorbed by (a) 3.0 mol of a dilute monatomic gas; (b) 0.50 mol of a dilute diatomic gas; and (c) 15 mol of a dilute polyatomic gas?arrow_forwardIn 1993, the U.S. government instituted a requirement that all room air conditioners sold in the United States must have an energy efficiency ratio (EER) of 10 or higher. The EER is defined as the ratio of the cooling capacity of the air conditioner, measured in British thermal units per hour, or Btu/h, to its electrical power requirement in watts. (a) Convert the EER of 10.0 to dimensionless form, using the conversion 1 Btu = 1 055 J. (b) What is the appropriate name for this dimensionless quantity? (c) In the 1970s, it was common to find room air conditioners with EERs of 5 or lower. State how the operating costs compare for 10 000-Btu/h air conditioners with EERs of 5.00 and 10.0. Assume each air conditioner operates for 1 500 h during the summer in a city where electricity costs 17.0 per kWh.arrow_forwardAn aluminum rod 0.500 m in length and with a cross-sectional area of 2.50 cm2 is inserted into a thermally insulated vessel containing liquid helium at 4.20 K. The rod is initially at 300 K. (a) If one-half of the rod is inserted into the helium, how many liters of helium boil off by the time the inserted half cools to 4.20 K? Assume the upper half does not yet cool. (b) If the circular surface of the upper end of the rod is maintained at 300 K, what is the approximate boil-off rate of liquid helium in liters per second after the lower half has reached 4.20 K? (Aluminum has thermal conductivity of 3 100 W/m K at 4.20 K; ignore its temperature variation. The density of liquid helium is 125 kg/m3.)arrow_forward
- Suppose 26.0 g of neon gas are stored in a tank at a temperature of 152C. (a) What is the temperature of the gas on the Kelvin scale? (See Section 10.2.) (b) How many moles of gas are in the tank? (See Section 10.4.) (c) What is the internal energy of the gas? (See Section 10.5.)arrow_forwardHydrothermal vents deep on the ocean floor spout water at temperatures as high as 570°C. This temperature is below the boiling point of water because of the immense pressure at that depth. Because the surrounding ocean temperature is at 4.0°C, an organism could use the temperature gradient as a source of energy. (a) Assuming the specific heat of water under these conditions is 1.0 cal/g ? °C, how much energy is released when 1.0 liter of water is cooled from 570°C to 4.0°C? (b) What is the maximum usable energy an organism can extract from this energy source? (Assume the organism has some internal type of heat engine acting between the two temperature extremes.) (c) Water from these vents contains hydrogen sulfide (H2 S) at a concentration of 0.90 mmole/liter. Oxidation of 1.0 mole of H2 S produces 310 kJ of energy. How much energy is available through H2 S oxidation of 1.0 L of water?arrow_forwardJill takes in 0.0140 mol of air in a single breath. The air is taken in at 20.0°C and exhaled at 35.0°C. Her respiration rate is (1.30x10^1) breaths per minute. At what average rate does heat leave her body due to the temperature increase of the air? Provide your answer to three significant figures. HINT: Use the molar specific heat at constant volume to find the heat loss, where Cv = 5R/2 (for an ideal diatomic gas).arrow_forward
- A cube of ice is taken from the freezer at -8.4°C and placed in a 94 g zinc cup filled with 307 g of water. Both the water & the cup are at 20.1°C. Eventually the system reaches thermal equilibrium at 18.4°C. Determine Qcup Qwater (for the water initially in the cup), Qice, & the mass of the ice. Qcup = Qwater Specific heat Solids (J/kg.K) Aluminum 900 Liquids Specific heat (J/kg.K) Brass 402 Bromine 473 Copper 377 Ethyl 2400 Alcohol Glass 840 Gasoline 2220 Gold 126 Glycerin 2430 Ice 2095 Mercury 140 Iron 461 Water 4186 Qice mice = Lead 130 Nickel 502 Latent Heat Substance (J/kg) Silver 239 Steam water 2,260,000 Styrofoam 1131 Ice water 333,000 Zinc 390arrow_forwardA pronghorn antelope can run at a remarkable 18 m/sm/s for up to 10 minutes, almost triple the speed that an elite human runner can maintain. For a 32 kgkg pronghorn, this requires an astonishing 3.4 kWkW of metabolic power, which leads to a significant increase in body temperature. If the pronghorn had no way to exhaust heat to the environment, by how much would its body temperature increase during this run? (In fact, it will lose some heat, so the rise won't be this dramatic, but it will be quite noticeable, requiring adaptations that keep the pronghorn's brain cooler than its body in such circumstances.) Assume the efficiency of the pronghorn to be equal to that of human.arrow_forwardDuring a marathon race David uses energy at a rate of 292 W. What volume of body fluid does he lose in the 5.5 hours of the race if 17.0% of the energy goes to the muscle tissue and the rest is used in removing the perspiration from the body. The latent heat of vaporization is 2.41*10^6 J/kg at 37.0°C and density of water is 1000 kg/m3. Answer in cubic meters.arrow_forward
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