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A 48.3-mL sample of gas in a cylinder equipped with a piston is warmed from 22 °C to 87

Introductory Chemistry | 5th Edition | ISBN: 9780321910295 | Authors: Nivaldo J Tro ISBN: 9780321910295 34

Solution for problem 41P Chapter 11

Introductory Chemistry | 5th Edition

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Introductory Chemistry | 5th Edition | ISBN: 9780321910295 | Authors: Nivaldo J Tro

Introductory Chemistry | 5th Edition

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Problem 41P

PROBLEM 41P

A 48.3-mL sample of gas in a cylinder equipped with a piston is warmed from 22 °C to 87 °C. What is its volume at the final temperature?

Step-by-Step Solution:
Step 1 of 3

Solution 41P

Given :

Initial Volume of gas (Vi) = 48.3 mL

Initial temperature (Ti) = 22 °C = 22 + 273 = 295 K

Final Temperature (Tf) = 87 °C = 87 + 273 = 360 K

Final volume(Vf) = ?

Charles’s law states that ‘At a fixed pressure, the volume of a gas is directly proportional to the kelvin temperature of the gas.’

Mathematically it can be represented as :

V T          Or         = k

where:

V = volume of the gas,

T =  temperature of the gas (measured in kelvins),

k = constant.

With pressure , it can be represented as  :

=

First, Let’s convert volume in mL to L :

                1 L = 1000 mL

Hence, 48.3 mL in L is :

                = 48.3 mL

                = 0.0483 L.

Here, the pressure are assumed to be constant .

        Vf =

             =

                 = 0.058 L

Hence final volume is 58 mL or 0.058L

Step 2 of 3

Chapter 11, Problem 41P is Solved
Step 3 of 3

Textbook: Introductory Chemistry
Edition: 5
Author: Nivaldo J Tro
ISBN: 9780321910295

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A 48.3-mL sample of gas in a cylinder equipped with a piston is warmed from 22 °C to 87