Final answer:
To calculate the atomic weight of element X2, divide the molar mass of X2 by Avogadro's number. In this case, the atomic weight of element X is 0.00 amu.
Step-by-step explanation:
To calculate the atomic weight of the element X, we need to find the molar mass of X2 and divide it by Avogadro's number. Given that the mass of 7.02x10^23 molecules of X2 is 296.0 g, we can calculate the molar mass:
Molar mass of X2 = 296.0 g / (7.02x10^23 molecules) = 4.207x10^-22 g/molecule
Next, we divide the molar mass by Avogadro's number to obtain the atomic weight:
Atomic weight of X = (4.207x10^-22 g/molecule) / (6.022x10^23 molecules/mol) = 6.99x10^-46 g
Rounding to two decimal places, the atomic weight of element X is 6.99x10^-46 amu, which can be approximated to 0.00 amu.