The uncertainty associated with the momentum of an electron is given by the Heisenberg uncertainty principle as approximately 5.5×10^(-21) kg·m/s, which is calculated by the uncertainty in position.
According to the Heisenberg uncertainty principle, the product of the uncertainty in position (Δx) and the uncertainty in momentum (Δp) of a particle is always greater than or equal to a constant value, Planck's constant (h), divided by 4π:
Δx * Δp ≥ h / (4π)
In this case, the uncertainty in position (Δx) of the electron is given as 3.3 × 10^(-11) m. To find the uncertainty in momentum (Δp), we rearrange the equation:
Δp ≥ h / (4π * Δx)
Plugging in the values, we have:
Δp ≥ (6.626 × 10^(-34) J*s) / (4π * 3.3 × 10^(-11) m)
Simplifying the expression:
Δp ≥ 5.03 × 10^(-24) kg*m/s
Therefore, the uncertainty associated with the momentum of the electron is 5.03 × 10^(-24) kg*m/s.
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The gold foil experiment performed in Rutherford's lab ________. Group of answer choices proved the law of multiple proportions
The gold foil experiment performed in Rutherford's lab did not prove the law of multiple proportions.
The gold foil experiment, also known as the Rutherford scattering experiment, was conducted by Ernest Rutherford in 1911 to investigate the structure of the atom. In this experiment, alpha particles were directed at a thin gold foil, and their scattering patterns were observed.
The main conclusion drawn from the gold foil experiment was the discovery of the atomic nucleus. Rutherford observed that most of the alpha particles passed through the gold foil with minimal deflection, indicating that atoms are mostly empty space. However, a small fraction of alpha particles were deflected at large angles, suggesting the presence of a concentrated positive charge in the center of the atom, which he called the nucleus.
The law of multiple proportions, on the other hand, is a principle in chemistry that states that when two elements combine to form multiple compounds, the ratio of masses of one element that combine with a fixed mass of the other element can be expressed in small whole numbers. This law was formulated by John Dalton and is unrelated to Rutherford's gold foil experiment.
The gold foil experiment performed in Rutherford's lab did not prove the law of multiple proportions. Its main contribution was the discovery of the atomic nucleus and the proposal of a new atomic model, known as the Rutherford model or planetary model.
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