# trong&gt;Exercise 13.6 Radon, a radioactive gas formed naturally in the soil. can cause lung cancer. It can pose a hazard to humans by seeping into houses, and there is concern about this problem in many areas. A 1 . 5 − mole sample of radon gas has a volume of 21 .0 L at 33 ° C . What is the pressure of the gas?

### Introductory Chemistry: A Foundati...

8th Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781285199030

Chapter
Section

### Introductory Chemistry: A Foundati...

8th Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781285199030
Chapter 13.5, Problem 13.6SC
Textbook Problem
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## trong>Exercise 13.6 Radon, a radioactive gas formed naturally in the soil. can cause lung cancer. It can pose a hazard to humans by seeping into houses, and there is concern about this problem in many areas. A 1 . 5 − mole sample of radon gas has a volume of 21 .0  L at 33 ° C . What is the pressure of the gas?

Interpretation Introduction

Interpretation:

The pressure of 1.5 mole sample of radon gas with a volume of 21.0 L at 33° C should be determined.

Concept Introduction:

The pressure of radon gas in this case can be determined using ideal gas law. Ideal gas law is a hypothetical law and mathematically expressed as:

PV = nRT

Where,

P is the pressure of gas

V is the volume of the gas

T is the absolute temperature of the gas

R is the gas constant and

n is the number of moles of the gas molecules.

### Explanation of Solution

Given information:

V = 21.0 L

P = ?

n = 1.5 mole

T = 33° C = (273+33) K = 306 K

R = 0.08205 L.atm/mol.K

Using the ideal gas equation,

PV=nRTP=nRTV

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