An insulated beaker with negligible mass contains a mass of 0.300 kg of water at a temperature of 66.1°C. Take the specific heat for water to be 4190 J/kg · K, the specific heat for ice to be 2100 J/kg K, and the heat of fusion for water to be 334 kJ/kg. Part A For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Changes in both temperature and phase. How many kilograms of ice at a temperature of -20.5°C must be dropped in the water to make the final temperature of the system 23.2° C? Express your answer in kilograms.
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- The basal metabolic rate is the rate at which energy is produced in the body when a person is at rest. A 75 kgkg (165 lblb) person of height 1.85 mm (6.07 ftft) would have a body surface area of approximately 2.00 m2m2. Part A What is the net amount of heat this person could radiate per second into a room at 17.0 ∘C∘C (about 62.6 ∘F∘F) if his skin's surface temperature is 31.0 ∘C∘C? (At such temperatures, nearly all the heat is infrared radiation, for which the body's emissivity is 1.0, regardless of the amount of pigment.) Express your answer with the appropriate units. HnetHnet = nothingnothing SubmitRequest Answer Part B Normally, 80%% of the energy produced by metabolism goes into heat, while the rest goes into things like pumping blood and repairing cells. Also normally, a person at rest can get rid of this excess heat just through radiation. Use your answer to part A to find this person's basal metabolic rate…Learning Goal: To understand the ideal gas law and be able to apply it to a wide variety of situations. The absolute temperature T. volume V, and pressure p of a gas sample are related by the ideal gas law, which states that pV=nRT. Here is the number of moles in the gas sample and R is a gas constant that applies to all gases. This empirical law describes gases well only if they are sufficiently dilute and at a sufficiently high temperature that they are not on the verge of condensing. In applying the ideal gas law, p must be the absolute pressure, measured with respect to vacuum and not with respect to atmospheric pressure, and I must be the absolute temperature, measured in kelvins (that is, with respect to absolute zero, defined throughout this tutorial as -273° C). If p is in pascals and V is in cubic meters, use R = 8.3145 J/(mol-K). If p is in atmospheres and V is in liters, use R = 0.08206 L-atm/(mol-K) instead.The evaporation of sweat is an important mechanism for temperature control in some warm-blooded animals. Part A What mass of water must evaporate from the skin of a 67.5 kg man to cool his body 1.25 °C? The heat of vaporization of water at body temperature (37.0 °C) is 2.42 x 106 J/kg. The specific heat of a typical human body is 3480 J/(kg-K). Express your answer in kilograms to three significant figures. m = Submit Part B | ΓΑΣΦ V= Request Answer Submit What volume of water must the man drink replenish the evaporated water? Compare this result with the volume of a soft-drink can, which is 355 cm³ Express your answer in cubic centimeters to three significant figures. VI ΓΑΣΦ ? Request Answer kg ? cm³
- One end of an insulated metal rod is maintained at 100°C and the other end is maintained at 0.00°C by an ice-water mixture. The rod has a length of 65.0 cm and a cross-sectional area of 1.30 cm². The heat conducted by the rod melts a mass of 9.05 g of ice in a time of 15.0 min. Part A Find the thermal conductivity k of the metal. Express your answer in watts per meter-kelvin. V ΑΣΦ k= Submit Provide Feedback Request Answer ? W/(m. K)I Review I Constants Part B Just about everyone at one time or another has been burned by hot water or steam. This problem compares the heat input to your skin from steam as opposed to hot water at the same temperature. How much heat Q1 is transferred by 25.0 g of water onto the skin? To compare this to the result in the previous part, continue to assume that the skin temperature does not change. Assume that water and steam, initially at 100° C, are cooled down to skin temperature, 34° C, when they come in contact with your skin. Assume that the steam condenses extremely fast. The heat capacity of liquid water is c = Express the heat transferred, in joules, to three significant figures. 4190 J/(kg · K). • View Available Hint(s) ΑΣφ ? Q1 JOne end of an insulated metal rod is maintained at 100°C and the other end is maintained at 0.00° C by an ice-water mixture. The rod has a length of 70.0 cm and a cross- sectional area of 1.45 cm². The heat conducted by the rod melts a mass of 8.00 g of ice in a time of 10.0 min. Part A Find the thermal conductivity k of the metal. Express your answer in watts per meter-kelvin. —| ΑΣΦ k = Submit Previous Answers Request Answer Provide Feedback ? X Incorrect; Try Again; 5 attempts remaining W/(m. K)
- Part A Consider the following two-step process. Heat is allowed to flow out of an ideal gas at constant volume so that its pressure drops from P₁ = 2.7 atm to P2 = 1.7 atm. Then the gas expands at constant pressure, from a volume of V₁ = 5.9 L to V₂ = 9.6 L, where the temperature reaches its original value. See the figure ( Figure 1). Calculate the total work done by the gas in the process. Express your answer to two significant figures and include the appropriate units. ☐ о W = Value ? Units Figure P P₁ b P2 P 1 of 1 Submit Request Answer Part B Calculate the change in internal energy of the gas in the process. Express your answer with the appropriate units. με ? AU = Value Units V₁ V2 VD How many joules of heat are required to melt 8.5 g of copper at a temperature of 1083°C? Use the values found in Table 15 from Appendix C of your text. Add your answer MParty Planning You are expecting to serve 34 cups of soft drinks to your guests tonight. Each cup will hold 276 g of a soft drink that has a specific heat of 4186 J/(kg · K) and an initial temperature of 24°C. Part A If each guest would like to enjoy the drink at 3.0 °C, how much ice (in kg) should you buy? Assume the initial temperature of the ice is 0°C, and ignore the heat exchange with the plastic cups and the surroundings. Express your answer to two significant figures and include appropriate units. Templates Symbols undo redo reset keyboard shortcuts help 24.6 kg Submit Previous Answers Request Answer X Incorrect; Try Again; 2 attempts remaining Provide Feedback
- Cons The value of specific heat for copper is 390 J/kg · C°, for aluminun is 900 J/kg · C°, and for water is 4186 J/kg · C°. Part A What will be the equilibrium temperature when a 265 g block of copper at 255 °C is placed in a 145 g aluminum calorimeter cup containing 875 g of water at 15.0 °C? Express your answer using three significant figures. να ΑΣφ T = °C %3DA 0.0545 kg chunk of an unknown metal that has been in boiling water for several minutes is quickly dropped into an insulating Styrofoam beaker that contains 0.462 kg of water at room temperature (20.0° C). After waiting for a few minutes, you observe that the water's temperature has reached a constant value of 22.0° C. Part A Assuming that the Styrofoam absorbs a negligibly small amount of heat and that no heat was lost to the surroundings, what is the specific heat of the metal? Express your answer in joules per kilogram-kelvin to three significant figures. ΑΣφ J/(kg · K) C = Submit Request Answer Part B Use the table below to identify the metal. Specific heat (c) Material J/(kg K) cal/(g K) Solids Lead 0.13 x 103 0.031 Mercury 0.14 × 103 0.033 Silver 0.23 × 103 0.056 Copper 0.39 × 10³ 0.093 Iron 0.47 x 103 0.112 Marble (CACO3) 0.88 × 10³ 0.21 Salt 0.88 × 103 0.21 Aluminum 0.91 × 103 0.217 Beryllium 1 97 x 103 0.471Part A A gas is compressed from 600 cm to 200 cm³ at a constant pressure of 500 kPa. At the same time, 100 J of heat energy is transferred out of the gas. What is the change in thermal energy of the gas during this process? For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Fire piston. Express your answer with the appropriate units. μΑ AEth Value J