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# 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 : methane would be [AIPMT-2014] (1) 8 : 16 : 1 (2) 16 : 8 : 1 (3) 16 : 1 : 2 (4) 8 : 1 : 2

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Solution

## Let us consider that the hydrogen , oxygen and methane are present in 100 grams proportion.Since the volume of gas is directly proportional to number of moles of gasThe molar mass of hydrogen oxygen and methane are 2 gm/mol , 32 gm/mol and 16 g,/mol respectively.Step 1 - Calculation of number of molesNumberofmolesofhydrogen=GivenmassingramsMolecularmass=1002=50molesNumberofmolesofoxygen=GivenmassMolecularmass=10032=116Numberofmolesofmethane=GivenmassMolecularmass=10016=18Theratioofvolumeofhydrogenoxygenandmethanewillbehence1002:10032:10016=11:116:18=16:1:2

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