# A backpacker carries an empty, soft-plastic water container into the mountains. Its initial volume at 1.0 atm and 20°C is 0.50 L. The pressure at the mountaintop is 0.83 atm, and the midday temperature has reached 30°C . What is the new volume of the water container?

### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692

Chapter
Section

### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692
Chapter 11, Problem 50E
Textbook Problem
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## A backpacker carries an empty, soft-plastic water container into the mountains. Its initial volume at 1.0 atm and 20°C is 0.50 L. The pressure at the mountaintop is 0.83 atm, and the midday temperature has reached 30°C . What is the new volume of the water container?

Interpretation Introduction

Interpretation:

The new volume of the water container at mountain top is to be calculated.

Concept Introduction:

The Combined gas law, also called general gas equation simply combines Boyle’s Law and Charles’s Law. According to the combined gas law, the ratio of the pressure-volume product to the absolute temperature of a gas is equal to a constant.

P1V1T1=P2V2T2

Here, P1 is the initial pressure of the ideal gas; P2 is the final pressure of the ideal gas; V1 is the initial volume of the ideal gas; V2 is the final volume; T1 is the initial temperature and T2 is the final temperature of the ideal gas

### Explanation of Solution

The new volume of the water container is calculated as follows:

According to the Combined gas law,

P1V1T1=P2V2T2

The conversion of temperature from degree Celsius to Kelvin is as follows:

Convert degree Celsius to Kelvin by adding 273 as a conversion factor.

K=273+°C

Substitute the values:

T1=20+273T1=293 K

T2=30+273T2

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