You are asked to construct a 1.00kg cube made of aluminum, and a 1.00kg cube made of brass. What side length should each cube have to produce the desired mass of 1.00kg?
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- A sample of pure gold has a mass of 15.8 g. Calculate the number of moles in the sample and gold atoms in the sample. (a) moles in the sample ?moles (b) gold atoms in the sample ?atomsThe density of aluminum is 2700 kg/m3. How many atoms are in a 2.0 cm × 2.0 cm × 2.0 cm cube of aluminum?The most dangerous particles in polluted air are those with diameters less than 2.5 μm because they can penetrate deeply into the lungs. A 15-cm-tall closed container holds a sample of polluted air containing many spherical particles with a diameter of 2.5 μm and a mass of 1.4 x 10-14 kg. How long does it take for all of the particles to settle to the bottom of the container?
- Members AB and AC of the truss shown consist of bars of square cross section made of the same alloy. It is known that a 20-mm-square bar of the same alloy was tested to failure and that an ultimate load of 120 kN was recorded. If a factor of safety of 3.2 is to be achieved for both bars, determine the required dimensions of the cross section of(a) bar AB, (b) bar AC.A certain element has a mass per mole of 9.0122 g/mol. What is the mass of a single atom in (a) atomic mass units and (b) kilograms? (c) How many moles of atoms are in a 277-g sample? (a) matom (b) matom= (c) n = i iIn 2009, one of the U.S government’s bailout packages was $700 billion when gold was worth $800 per ounce ($28.20 per gram). Calculate the mass in grams of $700 billion worth of gold. If this amount of gold were in the shape of a cube, how long would each of its sides be?
- A sample of pure copper has a mass of 12.5 g. Calculate the number of (a) moles in the sample and (b) copper atoms in the sample.A hollow spherical container has an outer diameter of 10.50 cm. The thickness of the walls is 0.50 cm. The container is filled with water. Water molecules are approximated to be spheres with a diameter of 275 pm. How many water molecules are present inside of the container? Your answer needs to have the correct number of significant figures.You toss two six-sided dice. What is the total number of ways in which you can obtain the following? (a) a 6 (b) an 11 What If? If you now rolled three six-sided dice, what would be the number of ways in which you can obtain the following? (c) a 15 (d) a 9 Submit Answer
- A container filled with an ideal gas is connected to a reservoir of the same gas so that the number of moles in the container can change. If the pressure and volume of the container are each doubled while the temperature is held constant, what is the ratio of the final to the initial number of moles in the container?In the extrusion of cold chocolate from a tube, work is done on the chocolate by the pressure applied by a ram forcing the chocolate through the tube. The work per unit mass of extruded chocolate is equal to p/r, where p is the difference between the applied pressure and the pressure where the chocolate emerges from the tube, and r is the density of the chocolate. Rather than increasing the temperature of the chocolate, this work melts cocoa fats in the chocolate.These fats have a heat of fusion of 150 kJ/kg.Assume that all of the work goes into that melting and that these fats make up 30% of the chocolate’s mass.What percentage of the fats melt during the extrusion if p = 5.5 MPa and r = 1200 kg/m3?A closed 1 L water bottle contains air at standard temperature and pressure. The bottle is left in a room for a few hours, and the sun heats up the bottle to 30oC. What is the new pressure inside the bottle? Give an answer in atm with 3 digits of precision behind the decimal.