Chapter 12: Problem 52

How many moles of argon are there in \(20.0 \mathrm{L},\) at \(25^{\circ} \mathrm{C}\) and 96.8 \(\mathrm{kPa}\) ?

Short Answer

Expert verified

The number of moles of argon is approximately 0.785 mol.

Step by step solution

Convert all units to the standard units

The standard units for the Ideal Gas Law are volume in litres (L), pressure in kilopascals (kPa), and temperature in Kelvin (K). Here, pressure, \(P = 96.8\ kPa\) and volume, \(V = 20.0\ L\) are already in standard units, but the temperature must be converted from Celsius to Kelvin. The formula to convert Celsius to Kelvin is \(K = °C + 273.15\), so, \(T = 25°C + 273.15 = 298.15 K\).

Substituting the values into the Ideal Gas Law

Rearrange the Ideal Gas Law to solve for n, \( n = \frac{PV}{RT}\), and then substitute P=96.8 kPa, V=20.0 L, R = 8.314 L.kPa/K.mol (R is a constant), and T=298.15 K into the formula. This gives: \(n = \frac{96.8\ kPa \times 20.0\ L}{8.314 \ L.kPa/K.mol \times 298.15\ K}\).

Calculate the number of moles

Perform the calculation to find the number of moles. The units of kPa, L, and K all cancel to leave only moles (mol), which is the desired unit for n.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Chemistry Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

How many moles of argon are there in \(20.0 \mathrm{L},\) at \(25^{\circ} \mathrm{C}\) and 96.8 \(\mathrm{kPa}\) ?

Short Answer

Step by step solution

Convert all units to the standard units

Substituting the values into the Ideal Gas Law

Calculate the number of moles

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Chemistry Textbooks

Ionic and Molecular Compounds

The Earths Atmosphere

Chemical Analysis

Organic Chemistry

Kinetics

Chemistry Branches

Study anywhere. Anytime. Across all devices.