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6: What would the final volume of a 2.0 liter gas sample be if its pressure was changed from 1.5 atmospheres to 3.0 atmospheres and its temperature was changed from 25°C to 323°C?

6: What would the final volume of a 2.0 liter gas sample be if its pressure was changed from 1.5 atmospheres to 3.0 atmospheres and its temperature was changed from 25°C to 323°C?

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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6: What would the final volume of a 2.0 liter gas sample be if its pressure was changed from 1.5 atmospheres to 3.0 atmospheres and its temperature was changed from 25°C to 323°C?
Transcribed Image Text:6: What would the final volume of a 2.0 liter gas sample be if its pressure was changed from 1.5 atmospheres to 3.0 atmospheres and its temperature was changed from 25°C to 323°C?
Expert Solution
Step 1: Determine the given variables

Q. Given 

V1 = 2 L ( Initial Volume of gas sample)

P1 = 1.5 atm ( Initial pressure of gas sample) 

P2 = 3.0 atm (Final pressure of gas sample)

T1= 25o C = 298.15 K (Initial temperature of gas sample)

T2= 323o C = 596.15 K (Final temperature of gas sample)

Here in this question we have to calculate the final volume of a 2.0 L gas sample if its pressure was changed from 1.5 atmospheres to 3.0 atmospheres and its temperature was changed from 25oC to 323oC

Here we use the concept of combined gas law 

Combined gas law - It states that the ratio between the product of pressure-volume and temperature of a system remains constant.

Formula used :-

fraction numerator straight P subscript 1 cross times straight V subscript 1 over denominator straight T subscript 1 end fraction equals fraction numerator straight P subscript 2 cross times straight V subscript 2 over denominator straight T subscript 2 end fraction minus negative negative negative negative negative 1

  • Here P1 stands for initial pressure (atm)
  • P2 stands for final pressure (atm)
  • V1 stands for initial volume (L)
  • V2 stands for final volume (L)
  • T1 stands for initial temperature (K)
  • T2 stands for final temperature (K)
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