Question
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.
Answers
GPT 3.5
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.
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.