Equal Masses Of H2, O2 And Methane Have Been Taken In A ...

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4. Equal masses of H 2, O 2 and methane have been taken in a container of volume V at temperature 27° C in identical conditions. The ratio of the volumes of gases H 2 ; O 2 ; CH 4 would be

Q. Equal masses of H2​,O2​ and methane have been taken in a container of volume V at temperature 27∘C in identical conditions. The ratio of the volumes of gases H2​;O2​;CH4​ would be 12575 200 AIPMTAIPMT 2014States of Matter Report Error A

8 : 16 : 1

11% B

16 : 8 : 1

18% C

16 : 1 : 2

65% D

8 : 1 : 2

7%

Solution:

According to Avogadro's hypothesis, Volume of a gas (V)∝ number of moles (n) Therefore, the ratio of the volumes of gases can be determined in terms of their moles. ∴ The ratio of volumes of H2​:O2​: methane (CH4​) is given by VH2​​:VO2​​:VC4​​=nH2​​:nO2​​:nCH4​​ ⇒VH2​​:VO2​​:VC4​​:=MH2​​mH2​​​:MO2​​mO2​​​:MCH4​​mCH4​​​ Given, mH2​​=mO2​​=mC4​​=m [∵n= molarmass  mass ​] Thus, VH2​​:VO2​​:VCH4​​:=2m​:32m​:16m​ =16:1:2