the ideal gas law displays the relationship in which of the following?
select all that apply:
amontonss law
charless law
boyles law
avogadros law

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Accepted Answer

# Answer:
A. Amontons's law, B. Charles's law, C. Boyle's law, D. Avogadro's law
# Brief Explanations:
The ideal gas law $PV = nRT$ can be simplified to display the relationships of these laws.
- **Amontons's law ($P \propto T$ at constant $V$ and $n$)**: From $PV = nRT$, when $V$ and $n$ are constant, $P=\frac{nR}{V}T$, so $P\propto T$.
- **Charles's law ($V\propto T$ at constant $P$ and $n$)**: From $PV = nRT$, when $P$ and $n$ are constant, $V=\frac{nR}{P}T$, so $V\propto T$.
- **Boyle's law ($P\propto\frac{1}{V}$ at constant $n$ and $T$)**: From $PV = nRT$, when $n$ and $T$ are constant ($nRT$ is a constant), $PV=\text{constant}$, so $P\propto\frac{1}{V}$.
- **Avogadro's law ($V\propto n$ at constant $P$ and $T$)**: From $PV = nRT$, when $P$ and $T$ are constant ($\frac{RT}{P}$ is a constant), $V=\frac{RT}{P}n$, so $V\propto n$.

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