A helium gas cylinder of the sort used to fill balloons has...

A helium gas cylinder of the sort used to fill balloons has a volume of 43.8 $\mathrm{L}$ and a pressure of $1.51 \times 10^{4} \mathrm{kPa}$ at $25.0^{\circ} \mathrm{C}$ . How many moles of helium are in the $\operatorname{tank} ?$

Key Concepts

Ideal Gas Law

The Ideal Gas Law is a fundamental equation in physical chemistry that relates the pressure, volume, number of moles, and temperature of an ideal gas. Expressed as PV = nRT, it provides a way to calculate any one of these variables provided the others are known and assumes the gas behaves ideally, meaning that its particles do not interact and occupy negligible volume.

Temperature Conversion

In gas law calculations, temperature must be expressed in an absolute scale, typically Kelvin, to ensure correct results. Converting from Celsius to Kelvin involves adding 273.15 to the Celsius temperature, which is essential for accurately applying formulas like the Ideal Gas Law.

Unit Conversion

Proper unit conversion is crucial when applying the Ideal Gas Law to maintain consistency across all terms. This may involve converting pressure, volume, and other units to match the unit system used for the gas constant, ensuring that the mathematical relationships hold true.

Moles

Moles represent the amount of a substance and are defined as containing a specific number of particles, usually Avogadro's number (approximately 6.022 x 10^23 particles). In the context of gas laws, the number of moles is the measure of the quantity of gas, which directly influences the behavior of the gas under varying pressure, volume, and temperature conditions.

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