How would you expect the sizes of the hydrogen ion, \(\mathrm{H}^{+},\) and the hydride ion, \(\mathrm{H}^{-},\) to compare with that of the H atom and the He atom? Explain.

Short Answer

Expert verified
The hydrogen ion (\(H^{+}\)) is much smaller than the hydrogen atom because it has lost its sole electron, while a hydride ion (\(H^{-}\)) is larger than the hydrogen atom due to the additional electron, but smaller than the helium atom thanks to helium's larger positively charged nucleus.

Step by step solution

01

Understanding of Atomic Structure

An atom consists of a nucleus containing protons and neutrons, and electrons that move around the nucleus. The size of an atom is determined by the outermost electronic cloud. An atom becomes an ion when it loses or gains an electron.
02

Compare the Sizes of Hydrogen Ion and Hydrogen Atom

The hydrogen ion (\(H^{+}\)) is formed when a hydrogen atom loses an electron. As such, \(H^{+}\) consists only of one proton without any electron, thereby making it practically point-sized.
03

Compare Sizes of Hydride Ion and Helium Atom

The hydride ion (\(H^{-}\)) is formed when a hydrogen atom gains an electron. This means that it has two electrons orbiting one proton, similar to the helium atom. However, since the helium atom has two protons and two neutrons in its nucleus, it has a greater positive charge attracting the electrons, making it smaller than the hydride ion.
04

Size Comparisons

From Step 2 and Step 3, we can conclude that \(H^{+}\) is smaller than the hydrogen atom, and the hydride ion (\(H^{-}\)) is larger than the hydrogen atom but smaller than the helium atom.

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