Questions: Consider the proportionality below. PV ∝ nT What does this best represent? - Dalton's law - Charles's law - ideal gas law - combined gas law

Transcript text: Consider the proportionality below. $P V \propto n T$ What does this best represent? Dalton's law Charles's law ideal gas law combined gas law

Solution

Solution Steps

Step 1: Identify the Proportionality

The given proportionality is $ PV \propto nT $. This indicates that the product of pressure ($P$) and volume ($V$) is directly proportional to the product of the number of moles ($n$) and temperature ($T$).

Step 2: Relate to Known Gas Laws

The proportionality $ PV \propto nT $ is a fundamental expression of the Ideal Gas Law, which is mathematically represented as: \[ PV = nRT \] where $R$ is the ideal gas constant. This law describes the relationship between pressure, volume, temperature, and the number of moles of an ideal gas.

Step 3: Determine the Best Representation

The Ideal Gas Law is the most comprehensive law that incorporates the variables $P$, $V$, $n$, and $T$ in a single equation. Other gas laws, such as Dalton's Law, Charles's Law, and the Combined Gas Law, either focus on specific conditions or combinations of these variables but do not encompass all four in the same way.