a 2.5 L sample of SO3 is at 19°C  and 1.5 atm. What will be the new temperature °C if the volume changes to 1.5 L and the pressure to 765 torr?

Chemistry & Chemical Reactivity
10th Edition
ISBN:9781337399074
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Chapter10: Gases And Their Properties
Section10.2: Gas Laws: The Experimental Basis
Problem 10.3CYU
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a 2.5 L sample of SO3 is at 19°C  and 1.5 atm. What will be the new temperature °C if the volume changes to 1.5 L and the pressure to 765 torr? 

 

The answer in the textbook is -150°C i come up with -155°C

Expert Solution
Step 1

The relationship between the temperature, pressure, and volume of the initial and final state of an ideal gas can be represented by the combined gas law.

The mathematical equation of the combined gas law is as follows:

P1V1T1=P2V2T2

Where

P1 = initial pressure of gas = 1.5 atm

V1 = initial volume of gas = 2.5 L

T1 = initial temperature of gas = 19oC = 19oC +273.15 = 292.15 K

P2 = final pressure of gas = 765 torr

V2 = final volume of gas = 1.5 L

T2 = final temperature of gas =?

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