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# A balloon has an initial temperature of 30 .0°C and an initial volume of 1.0 L. What would be its volume at 100 .0°C ? (Assume constant pressure.)

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### Chemistry In Focus

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

#### Solutions

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Section
BuyFindarrow_forward

### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692
Chapter 11, Problem 11.2YT
Textbook Problem
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## A balloon has an initial temperature of 30 .0°C and an initial volume of 1.0 L. What would be its volume at 100 .0°C ? (Assume constant pressure.)

Interpretation Introduction

Interpretation:

The volume of a balloon at a temperature of 100C and under constant pressure is to be calculated.

Concept Introduction:

Charles’s law states that the volume of a gas (V) is directly proportional to the temperature (T) of the gas.

The expression for Charles’s law is as follows:

V=bT

Here, b is the constant of proportionality.

For two different measurements, the expression for Charles’s law is as follows:

V1T1=V2T2

Here, V1 is the initial volume, T1 is the initial temperature, V2 is the final volume and T2 is the final temperature.

### Explanation of Solution

Given information:

The initial temperature is 30C, the final temperature is 100C and the initial volume is 1.0 L.

Convert temperature from degree Celsius to Kelvin as follows:

T(K)=T(C)+273 K…… (1)

Substitute 30C for T(C) in the above equation as follows:

T1(K)=30+273=303 K

Substitute 100C for T(C) in equation (1) as follows:

T2(K)

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