A 20.0 L tank contains 4.86 ×10^-4 kg of helium at 18.0^∘ C. The molar mass of helium is 4.00

step 1 is problem a 20 .0 liter tank contains a given amount of helium at 18 .0 degree Celsius and we h

A 20.0 L tank contains 4.86 ×10^-4 kg of helium at 18.0^∘...

A 20.0 L tank contains $4.86 \times 10^{-4} \mathrm{~kg}$ of helium at $18.0^{\circ} \mathrm{C}$. The molar mass of helium is $4.00 \mathrm{~g} / \mathrm{mol}$. (a) How many moles of helium are in the tank? (b) What is the pressure in the tank, in pascals and in atmospheres?

Key Concepts

Ideal Gas Law

The ideal gas law, represented by the equation PV = nRT, establishes a relationship between pressure, volume, number of moles, temperature, and the universal gas constant. This law is crucial for predicting the behavior of gases under various conditions assuming ideal behavior, allowing one to solve for any one variable when the others are known.

Temperature Conversion

Temperature conversion is essential in gas law calculations because the ideal gas law requires temperature to be in Kelvin rather than Celsius. Converting from Celsius to Kelvin, by adding 273.15, ensures that the temperature variable is in the absolute scale, which is necessary for accurate calculations using gas laws.

Pressure Unit Conversion

Pressure unit conversion is important when the calculated pressure needs to be expressed in different units for consistency and comparison. Understanding that one atmosphere is equivalent to approximately 101,325 pascals allows conversion between these units, making it easier to communicate and interpret experimental and theoretical results.

Moles and Molar Mass

This concept describes the calculation of the amount of substance (measured in moles) by dividing the mass of the substance by its molar mass. It is a fundamental conversion in chemistry that allows us to translate a measured mass into a count of particles, which is particularly useful when dealing with macroscopic amounts of material in chemical and physical calculations.

Transcript

Please give Ace some feedback