A fictitious element X is composed of 20 percent of the isotope X-50,15 percent of the isotope X -51, and 65 percent of the isotope X - 52. Estimate the mass of element Z.

1 answer

To estimate the mass of element X, we need to know the atomic masses of each isotope. Let's assume that the atomic masses of X-50, X-51, and X-52 are 50g/mol, 51g/mol, and 52g/mol respectively.

To calculate the mass of X-50: 20% * total mass = 0.20 * total mass = 0.20 * X-50 mass = 0.20 * 50g/mol = 10g/mol
To calculate the mass of X-51: 15% * total mass = 0.15 * total mass = 0.15 * X-51 mass = 0.15 * 51g/mol = 7.65g/mol
To calculate the mass of X-52: 65% * total mass = 0.65 * total mass = 0.65 * X-52 mass = 0.65 * 52g/mol = 33.8g/mol

The total mass of element X is the sum of the masses of each isotope:
Mass of X = 10g/mol + 7.65g/mol + 33.8g/mol = 51.45g/mol

Therefore, the estimated mass of element X is 51.45 grams per mole.