Tungsten has the highest melting point of any metal in the periodic table: 3422 °C. The distance between W atoms in tungsten metal is 274 pm. (a) What is the atomic radius of a tungsten atom in this environment? (This radius is called the metallic radius.)

Video transcript

Hey everyone in this example, we need to calculate the atomic radius of the atom, nickel at 1453 degrees Celsius. If its distance with another nickel atom in a nickel metal compound is 14530.1 24 nanometers. So we should recognize that for our nickel metal compound, we would have two nickels bonded to one another. And the question is asking us to find the atomic radius of just one nickel adam. So according to the prompt, we have a distance between each of these nickel atoms of 0.1 24 nanometers. So this is going to be our inter atomic distance. And so because we know that this is the inter atomic distance between these two nickel atoms to find the atomic radius of just one of these nickel atoms. We're just going to divide this inter atomic distance by two. So we're going to take that value 0.1 24 nanometers. We're going to divide it by two since we have two nickel atoms. And this is going to give us a value equal to 0.0 nanometers. But we should recall that atomic radius is in units of PICO meters. So we're going to convert from nanometers to PICO meters by the following conversion factor. Where we would recall that our prefix nano means we have 10 to the ninth power nanometers. And our prefix PICO tells us that we have 10 to the 12 power PICO meters. So now we're able to cancel out our units of nanometers. Leaving us with PICO meters as our final unit for atomic radius, and what we're going to get is a value Equal to km as our atomic radius of Nickel. And this will be our final answer to complete this example. So I hope that everything I reviewed was clear. If you have any questions, please leave them down below. Otherwise, I'll see everyone in the next practice video.