Open Question
If the atomic weight of an element is x, what is the mass in grams of 6.02 x 10^23 atoms of the element? How does your answer compare numerically with the atomic weight of element x?
Ch.2 - Atoms, Molecules & Ions
Chapter 2, Problem 129
If 4.61 * 10^21 atoms of element Z have a mass of 0.815 g, what is the identity of Z?
Verified step by step guidance1
Step 1: Calculate the number of moles of element Z using Avogadro's number. Avogadro's number is approximately 6.022 x 10^23 atoms/mol. Use the formula: \( \text{moles of Z} = \frac{\text{number of atoms}}{\text{Avogadro's number}} \).
Step 2: Substitute the given number of atoms (4.61 x 10^21) into the formula to find the moles of Z.
Step 3: Calculate the molar mass of element Z using the mass given (0.815 g) and the moles calculated in Step 2. Use the formula: \( \text{molar mass} = \frac{\text{mass}}{\text{moles}} \).
Step 4: Substitute the values from Step 2 and the given mass into the formula to find the molar mass of Z.
Step 5: Compare the calculated molar mass to known molar masses of elements on the periodic table to identify element Z.
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