The pressure gauge of a steel cylinder of methane gas (CH4) reads 400 . psi. The cylinder has a

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The pressure gauge of a steel cylinder of methane gas (CH4)...

The pressure gauge of a steel cylinder of methane gas $\left(\mathrm{CH}_4\right)$ reads 400 . psi. The cylinder has a volume of 1.50 L and is at a temperature of $30.0^{\circ} \mathrm{C}$. How many grams of methane does the cylinder contain?

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Key Concepts

Ideal Gas Law

The ideal gas law (PV = nRT) is a key principle in understanding the behavior of gases. It relates pressure (P), volume (V), the amount of substance (n), and temperature (T) using the gas constant (R), and is foundational for calculating the state or quantity of a gas under specific conditions.

Pressure Unit Conversion

Converting pressure units to the appropriate form is essential when applying gas laws. Often, pressures may be given in units like psi and need to be converted to standard units such as atmospheres (atm) or pascals (Pa) in order to maintain consistency with other variables and constants in the calculations.

Temperature Conversion

Temperature measurements must be converted to an absolute scale (Kelvin) for use in the ideal gas law. This conversion from Celsius to Kelvin (by adding 273.15) is crucial to ensure that the mathematical relationships in gas law equations are correctly applied.

Molar Mass Calculation

The concept of molar mass allows for the conversion of the number of moles of a substance into mass. Once the number of moles is determined using the ideal gas law, multiplying by the molar mass of the gas provides its mass in grams, linking the macroscopic measurement to the molecular scale.

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