A palladium atom has a diameter of 2.74×10-10 m. Suppose the atoms in 1.09 mol of palladium atoms are arranged just touching their neighbors in a single straight line. Determine the length of the line.

There are 2.619 1022 atoms in 1.000 g of sodium. Assume that sodium atoms are spheres of radius 1.86 and that they are lined up side by side. How many miles in length is the line of sodium atoms?

Indium oxide contains 4.784 g of indium for every 1.000 g of oxygen. In 1869, when Mendeleev first presented his version of the periodic table, he proposed the formula In2O3 for indium oxide. Before that time it was thought that the formula was InO. What values for the atomic mass of indium are obtained using these two formulas? Assume that oxygen has an atomic mass of 16.00.

Copper: (a) Suppose you have a cube of copper metal that is 0.236 cm on a side with a mass of 0.1206 g. If you know that each copper atom (radius = 128 pm) has a mass of 1.055 1022 g (you will learn in Chapter 2 how to find the mass of one atom), how many atoms are there in this cube? What fraction of the cube is filled with atoms? (Or conversely, how much of the lattice is empty space?) Why is there empty space in the lattice? (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 8.960 g/cm3, calculate the number of copper atoms in this smallest, repeating unit.

Here are three fictitious elements and a molecular view of the atoms that compose them. The molar mass of the middle element, (b), is 25 grams per dozen (g/doz). (The atoms of these fictitious elements are much larger than ordinary atoms.) Based on the size of the atoms, do you expect the atomic masses of elements (a) and (c) to be greater than or less than (b)? How many atoms are present in 175 g of element (b)?

The radius of a rhodium atom is 134 pm. How many rhodium atoms would have to be laid side by side to span a distance of 1.70 mm?

The radius of a tantalum atom is 142 pm. How many tantalum atoms would have to be laid side by side to span a distance of 2.85 mm?

The radius of a lead atom is 175 pm. How many lead atoms would have to be laid side by side to span a distance of 3.22 mm?

If the atomic radius of sodium atoms is 1.86 × 10−10 m, how many sodium atoms are needed to make a line that is 1.00 cm in length?

The radius of a strontium atom is 215 pm. How many strontium atoms would have to be laid side by side to span a distance of 4.96 mm?