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21 Apr 2020

Suppose an Olympic diver who weighs 52.0 kg executes a straight dive from a 10-m platform. At the apex of the dive, the diver is 10.8 m above the surface of the water. (a) What is the potential energy of the diver at the apex of the dive, relative to the surface of the water? (b) Assuming that all the potential energy of the diver is converted into kinetic energy at the surface of the water, at what speed, in m/s, will the diver enter the water? (c) Does the diver do work on entering the water? Explain.

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For a particular reaction, DeltaH = -111.4 kJ and DeltaS = -25.0 J/K. Calculate DeltaG for this reaction at 298 K Classify the following phase changes by the signs of the system's DeltaH and DeltaS. Consider these reactions, where M represents a generic metal. Use the information above to determine the enthalpy of the following reaction. Consider these reactions, where M represents a generic metal. 2M(s) + 6HCl(aq) rightarrow 2MCl3(aq) + 3H2(s) Delta H1, = -650.0 kJ HCl(g) rightarrow HCI(aq) Delta H2 = -74.8 kJ H2(g)+Cl2(g) rightarrow 2HC1(g) Delta H3 = -1845.0kJ MCI3(S) rightarrow MCI3(aq) Delta H4 = -416.0kJ Use the information above to determine the enthalpy of the following reaction 2M(S) + 3CI2(g) rightarrow 2MCI3(S) Delta H = A researcher studying the nutritional value of a new candy places a 4.20-gram sample of the candy inside a bomb calorimeter and combusts it in excess oxygen. The observed temperature increase is 2.17 degree C. If the heat capacity of the calorimeter is 34.00 kJ K-1, how many nutritional Calories are there per gram of the candy? When 1.250 x 103 J of heat energy is added to 43.5 g of hexane, C6H14, the temperature increases by 12.7 degree C. Calculate the molar heat capacity of C6H14. If you have 420.0 mL of water at 25.00 degree C and add 130.0 mL of water at 95.00 degree C, what is the final temperature of the mixture? Use 1.00 g/mL as the density of water. A 54.21 g sample of a substance is initially at 24.2 degree C. After absorbing 2755 J of heat, the temperature of the substance is 108.6 degreeC. What is the specific heat (c) of the substance? If a system has 325 kcal of work done to it, and releases 5.00 times 102 kJ of heat into its surroundings, what is the change in internal energy of the system? Classify each of the following as a path function or a state function. A 1687 kg car is traveling down the road at 105.0 km/h. While traveling at this rate of speed, what is the kinetic energy of this vehicle in kilojoules? Convert the following energy units, 451 kJ to J 2060 kcal to kJ 9.77 x 106 J to kcal

Calculate the volume of air within a typical bicycle tire (or, if you like, choose an atypical tire size that you prefer). This calculation does not need to be precise: A reasonable approximation would be the volume of a cylinder with the radius of the inner tube and the length of its circumference.

(b) Calculate the number of moles of air molecules in the inflated tire. For this calculation, it is reasonable to treat the air as an ideal gas and use the gas constant with units of atmospheres for pressure and liters for volume: R = 0.08206 L Â· atm Â· K â1molâ1 Assume that the temperature is 300 K, and be sure to indicate the final pressure that you are assuming. What is the initial volume of the air at atmospheric pressure?

(d) How would you go about filling the tire with the minimum amount of work? What conditions would you maintain during this process? What is the minimum amount of work required?

(e) If you have much experience with this activity, you probably know that the temperature of the air is likely to increase as you fill the tire. Why does the temperature increase? How would you expect the temperature increase to affect the amount of work that you have to do? (f) Suppose that you have just eaten a candy bar. How many tires must you pump up to work off the nutritional energy of the candy bar, assuming that 10% of the candy bar calories are converted to work (and the rest to metabolic heat)? Also assume that the temperature of the air remains constant and that you use the minimum amount of work to pump up each tire. Be careful: nutritional information is usually reported in âbig Câ calories, which is the amount of energy required to raise the temperature of 1 Kg of water by 1 â¦C, not 1 g.

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