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Chapter 9: Problem 69

What is the molar volume of neon gas at standard temperature and pressure (STP)?

Short Answer

Expert verified
The molar volume of neon gas at standard temperature and pressure (STP) is 22.4 L/mol.

Step by step solution

01

Recall the Ideal Gas Law

The Ideal Gas Law is stated as \(PV = nRT\), where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature. In this case, we know the values for P, R and T at STP and we are looking for V when n=1.
02

Plugging in the Standard Values

For an ideal gas at STP, P = 1 atm = 1.013 脳 \(10^5\) Pa, T = 0掳C = 273.15 K and R = 8.314 J/(mol.K). In this case as we are looking for molar volume, n = 1. We also know that 1 J = \(10^7\) ergs, hence, R can also be written as R = 0.0821 L.atm/(mol.K). Now, substituting these values in to the ideal gas law equation, we get : \(V = \frac{nRT}{P}\)
03

Solve for V (the molar volume)

Inserting the values of n, R, T, and P in the equation from previous step, the molar volume V is calculated as : \(V = \frac{(1 mol) 脳 (0.0821 L.atm /(mol.K)) 脳 (273.15 K)}{1 atm} = 22.4 L/mol\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Ideal Gas Law
The Ideal Gas Law is a fundamental equation in chemistry that relates the pressure, volume, temperature, and amount of moles of a gas. In its most common form, the law is expressed as \( PV = nRT \), where:

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