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can you please explain numericals based on gaylussac's law briefly?

Asked by savi1405 28th April 2016, 5:02 PM
Answered by Expert
Answer:
Gay-Lussac's Law of combining volumes: When gases react, they do so in volumes which bear a simple ratio to one anothet, and to the volume of the gaseous product, provided that all the volumes are measured at the same temperature and pressure.
 
Numerical example:
Problem: 40 cm3 of methane is mixed with 100 cm3 of pure oxygen at the same temperature and pressure. The mixture is then ignited. Calculate the composition of resulting mixtureif it is cooled to initial room temperature and pressure.
CH4 + 2O2 → CO2 + 2H2O
 
Solution:
 
CH subscript 4 space left parenthesis straight g right parenthesis space space plus space 2 straight O subscript 2 space left parenthesis straight g right parenthesis space rightwards arrow space CO subscript 2 space left parenthesis straight g right parenthesis space plus space 2 straight H subscript 2 straight O space left parenthesis straight l right parenthesis space space space 1 space vol space space space space space space space space 2 space vols space space space space space space space space space space space 1 space vol space space space space space space space space space space space Nil  By space Gay minus Lussac apostrophe straight s space law comma left parenthesis straight i right parenthesis space 1 space vol space of space methane space requires space 2 space vols space of space oxygen. So comma space 40 space cm cubed space of space methane space requires equals 2 space cross times space 40 space equals space 80 space cm cubed space oxygen left parenthesis ii right parenthesis space 1 space vol space of space methane space produces space 1 space vol space of space carbon space dioxide. So comma space 40 space cm cubed space of space methane space produces space 40 space cm cubed space of space carbon space dioxide.  Hence comma space the space composition space of space gaseous space mixture space after space reaction space is colon Methane space equals space left parenthesis 40 minus 40 right parenthesis space equals space 0 Carbon space dioxide space equals space 40 space cm cubed Oxygen space equals space left parenthesis 100 space minus space 80 right parenthesis space equals space 20 space cm cubed Water space equals space Negligible.
Answered by Expert 29th April 2016, 10:35 AM
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