Complete the following table for an ideal gas:P V n T101.33 kPa ? L 3.333 mol 300 K

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Identify the ideal gas law equation: PV = nRT.

Rearrange the equation to solve for the unknown variable, V: V = \(\frac{nRT}{P}\).

Substitute the given values into the equation: n = 3.333 \(\text{ mol}\), R = 8.314 \(\text{ J/(mol K)}\), T = 300 \(\text{ K}\), P = 101.33 \(\text{ kPa}\).

Convert the pressure from kPa to Pa for consistency with the gas constant R: 1 \(\text{ kPa}\) = 1000 \(\text{ Pa}\), so P = 101.33 \(\times\) 1000 \(\text{ Pa}\).

Calculate the volume V using the rearranged equation and the substituted values.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Ideal Gas Law

The Ideal Gas Law is a fundamental equation in chemistry that relates the pressure (P), volume (V), number of moles (n), and temperature (T) of an ideal gas. It is expressed as PV = nRT, where R is the ideal gas constant. This law allows us to predict the behavior of gases under various conditions and is essential for solving problems involving gas properties.

Pressure and Volume Relationship

In the context of the Ideal Gas Law, pressure and volume are inversely related when the number of moles and temperature are held constant. This means that if the volume of a gas increases, its pressure decreases, and vice versa. Understanding this relationship is crucial for manipulating the Ideal Gas Law to find unknown variables.

Units of Measurement

In chemistry, it is important to use consistent units when applying the Ideal Gas Law. Pressure is often measured in atmospheres (atm) or pascals (Pa), volume in liters (L), and temperature in Kelvin (K). The ideal gas constant R also has different values depending on the units used, so ensuring unit consistency is vital for accurate calculations.

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