The number of kilocalories in food is determined by calorimetry techniques in which the food is burned and the amount of heat transfer is measured. How many kilocalories per gram are there in a 5.00-g peanut if the energy from burning it is transferred to 0.500 kg of water held in a 0.100-kg aluminum cup, causing a 54.9°C temperature increase?
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- In an experiment measuring the latent heat of fusion of water, the following procedure was followed. Ice cube of mass 35.0 g at an initial temperature of 0.0°C is dropped into 225.0 g of 65.0°C water in an aluminum container. The mass of the aluminum container is 44 .0 g and the final equilibrium temperature is 46.0℃. Determine whether any heat is lost or gained in this experiment to the environment. If yes, how much? (For water: c = 1.00 cal/g×°C and Lf = 77.9 cal/g; for Al: c = 0.215 cal/g×°CThe world's deepest gold mine, which is located in South Africa, is over 5.1 km deep. Every day, the mine transfers enough energy by heat to the mine's cooling systems to melt 348114 kg of ice at 0.0 degrees Celsius. If the energy output from the mine is increased by 9.6 percent, to what final temperature will the 348114 kg of ice-cold water be heated? Latent Heat of fusion of Ice-3.33 × 105 J/kg Specific heat capacity of Water = 4186J/(kg. °C)The rate at which a resting person converts food energy is called one’s basal metabolic rate (BMR). Assume that the resulting internal energy leaves a person’s body by radiation and convection of dry air. When you jog, most of the food energy you burn above your BMR becomes internalenergy that would raise your body temperature if it were not eliminated. Assume that evaporation of perspiration is the mechanism for eliminating this energy. Suppose a person is jogging for “maximum fat burning,” converting food energy at the rate 400 kcal/h above his BMR, and putting out energy by work at the rate 60.0 W. Assume that the heat of evaporation of water at body temperature is equal to its heat of vaporization at 100°C. (a) Determine the hourly rate at which water must evaporate from his skin. (b) When you metabolize fat, the hydrogen atoms in the fat molecule are transferred to oxygen to form water. Assume that metabolism of 1.00 g of fat generates 9.00 kcal of energy and produces 1.00 g of…
- A) If the final temperature is 22.1°C, what is the specific heat of the object? (2 sig fig) B) Referring to the table, identify the material in the objectA 0.422 g food sample is used to raise the temperature of 14.656 g of water by 45.2 celsius. How many food Calories (kilocalories) of energy does the food contain per gram?1. (a) The number of kilocalories in food is determined by calorimetry techniques in which the food is burned and the amount of heat transfer is measured. How many kilocalories per gram are there in a 6-g peanut if the energy from burning it is transferred to 0.5 kg of water held in a 0.1 -kg aluminum cup, causing a 55.9 °C temperature increase? The specific heat of water is 1.00 kcal/kg °C, and the specific heat of aluminum cup is 0.215 kcal/kg °C. Q kcal/g mp (b) Compare your answer to labeling information found on a package of peanuts and comment on whether the values are consistent. A label for unsalted dry roasted peanuts says that 30 g contains 185 calories (kcal). Find the (Q/m) from calorimetry techniques of the label on a box of roasted peanuts. Q EGE 4.86 m cal m label
- The amount of heat per second conducted from the blood capillaries beneath the skin to the surface is 210 J/s. The energy is transferred a distance of 1.7 x 10-3 m through a body whose surface area is 1.6 m². Assuming that the thermal conductivity is that of body fat, determine the temperature difference between the capillaries and the surface of the skin. Number i UnitsA food product containing 80% moisture content is being frozen. Estimate the specific heat of the product at -6 ° C when 80% of the water is frozen. The specific heat of the dry product is 2 kJ / (kg ° C). it is assumed that the specific heat of water at -10 ° C is the same as the specific heat of water at 0 ° C, and the specific heat of ice follows the function Cp ice = 0.0062 Freezing point + 2.0649. Cp of frozen product = .... kJ / kg ° C.A 160 g copper bowl contains 120 g of water, both at 25.0°C. A very hot 420 g copper cylinder is dropped into the water, causing the water to boil, with 5,00 g being converted to steam. The final temperature of the system is 100°C. Neglect energy transfers with the environment. (a) How much energy is transferred to the water as heat? (b) How much to the bowl? (c) What is the original temperature of the cylinder? The specific heat of water is 1 cal/g-K, and of copper is 0.0923 cal/g-K. The latent heat of vaporization of water is 539 Cal/kg.