The radius of an atom of krypton (Kr) is about 1.9 Å. (a) Express this distance in nanometers (nm). 0.19 nm Express this distance in picometers (pm). 190 pm (b) How many krypton (Kr) atoms would have to be lined up to span 1.0 mm? 2.6 X atoms (c) If the atom is assumed to be a sphere, what is the volume in cm³ of a single krypton (Kr) atom? 2.87 X cm³
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- Calculate the average density of a single Al-27 atom by assuming that it is a sphere with a radius of 0.143 nm. The masses of a proton, electron, and neutron are 1.67261024g,9.10941028g, and 1.67491024g, respectively. The volume of a sphere is 4r3/3, where r is its radius. Express the answer in grams per cubic centimeter. The density of aluminum is found experimentally to be 2.70 g/cm3. What does that suggest about the packing of aluminum atoms in the metal?The radius of an atom of krypton (Kr) is about 1.9 Å. (a) Express this distance in nanometers (nm). nm Express this distance in picometers (pm). pm (b) How many krypton (Kr) atoms would have to be lined up to span 1.0 mm? atoms (c) If the atom is assumed to be a sphere, what is the volume in cm³ of a single krypton (Kr) atom? cm³(1. On the second floor of Kent Laboratory a chemistry student in 111B finds that 15.20 g of nitrogen will react with 17.37 g, 34.74 g, or 43.43 g of oxygen to form three different compounds: (a) Calculate the ratio of the mass of oxygen to the mass of nitrogen for each compound and (b) Explain briefly how the numbers in part (a) support the atomic theory.
- (a) Atoms are very small compared to objects on the macroscopic scale. The radius of a aluminum atom is 143 pm. What is this value in meters and in centimeters? m cm (b) The mass of a single aluminum atom is 4.48×10-23 g. Suppose enough Al atoms were lined up like beads on a string to span a distance of 37.7 cm (15 inches). How many atoms would be required? atoms What mass in grams of Al would be used? g Could you weigh out this amount of aluminum using a typical laboratory balance? (c) Taking the density of aluminum metal to be 2.70 g/cm³, calculate the mass of metal needed to form a piece of Al wire with the same length as the distance in b, but with a diameter of 1.00 mm. Hint: The volume of a cylinder is n times its radius squared times its height. (V = n r² h) How many aluminum atoms does this represent? g atomsUse the References to access important values if needed for this question. (a) Atoms are very small compared to objects on the macroscopic scale. The radius of a gold atom is 144 pm. What is this value in meters and in centimeters? 1.44e-10 m 1.446-8 cm (b) The mass of a single gold atom is 3.27x10-22 g. Suppose enough Au atoms were lined up like beads on a string to span a distance of 30.5 cm (12 inches). How many atoms would be required? atoms What mass in grams of Au would be used? Could you weigh out this amount of gold using a typical laboratory balance? (c) Taking the density of gold metal to be 19.3 g/cm³, calculate the mass of metal needed to form a piece of Au wire with the same length as the distance in b, but with a diameter of 1.00 mm. Hint: The volume of a cylinder is n times its radius squared times its height. (V=nr² h) 9 How many gold atoms does this represent? Submit Answer Try Another Version 9 atoms 3 item attempts remaining(a) Carbon and iron are both elements. What is an element?
- (b) A certain element has two naturally occurring isotopes. The mass of one of the isotopes is 106.905 amu and its natural abundance is 51.60%. The mass of the second isotope is 108.883 amu. Calculate the average atomic mass Write the chemical symbols of the isotopes (c) An organic compound consists of carbon, hydrogen and sulfur only. The percentage of carbon by mass in this compound wąs found to be 30.27%. The complete combustion of 1.367 g this compound produces 1.765 g of sulfur dioxide (SO2) (i) Determine the empirical formula for this compound. (ii) If a sample of this compound having the mass 3.781 x 103 mg contains 9.528 x 10-3 moles of the compound, determine the molecular formula.Assuming that a lithium atom is spherical, calculate its volume in cm3. The volume of a sphere is given by V=(4/3)3.14r3. The diameter of a lithium atom is 104 Å.Which of the following statements is a scientific theory? (a) The energy in an atomic nucleus is found by E = mc². (b) There is the same number of molecules in equal -volumes of gases. (c) If the temperature of a gas doubles, the pressure doubles. (d) The region surrounding the nucleus has negative charges.
- 3. The radius of an atom of gold (Au) is about 1.35 A°. (a) Express this distance in nanometers (nm) and in picometers (pm). (b) How many gold atoms would have to be lined up to span 1.0 mm? (c) If the atom is assumed to be a sphere, what is the volume in cm3 of a single Au atom? (Note: unit A is angstrom).Copper:(a) Suppose you have a cube of copper metal that is 0.236 cm on a side with a mass of0.1206 g. If you know that each copper atom (radius = 128 pm) has a mass of 1.055 ×10–22 g (you will learn in Chapter 2 how to find the mass of one atom), how manyatoms are there in this cube? What fraction of the cube is filled with atoms? (Orconversely, how much of the lattice is empty space?) Why is there “empty” space in thelattice?(b) Now look at the smallest, repeating unit of the crystal lattice of copper.Knowing that an edge of this cube is 361.47 pm and the density of copper is 8.960g/cm3, calculate the number of copper atoms in this smallest, repeating unit2.) Suppose you're attempting to measure the density of a liquid that is highly volatile (it evaporates quickly). If you first measure the volume and then several minutes later you measure the mass of the liquid will the measured density be higher than the true value, lower than the true value, or the true density of the liquid. [It helps to understand this problem with the density equation.]