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ICSE Class 10 Answered

the relative molecular mass[molecular weight]of 290 ml.of a gas 'A' at 17*C and 1520 mm pressure which weighs 2.73 g at s.t.p.[1 litre of hydrogen at s.t.p weighs 0.09 g.]  
Asked by suhaibbro1828 | 17 Feb, 2018, 12:45: PM
answered-by-expert Expert Answer
G i v e n colon
v o l u m e space o f space g a s space equals space 290 m l equals 290 cross times 10 to the power of negative 3 end exponent space L
t e m p space equals space 17 to the power of 0 C space equals space 290 space K
p r e s s u r e space equals space 1520 space n m

A c c o r d i n g space t o space A v o g a d r o apostrophe s space l a w colon

M o l a r space m a s s space equals fraction numerator m a s s space o f space 1 space m o l e space o f space g a s space a t space S T P over denominator 2 space cross times space m a s s space o f space o n e space h y d r o g e n space a t o m space a t space S T P end fraction

M a s s space o f space 1 space h y d r o g e n space a t o m space a t space S T P space equals space 1.67 space cross times 10 to the power of negative 24 end exponent

A s comma space P V space equals space n R T

space space space space space space space space space n space equals fraction numerator P V over denominator R T end fraction space equals space fraction numerator 1520 cross times 290 cross times 10 to the power of negative 3 end exponent over denominator 8.314 cross times 290 cross times end fraction space equals space 0.182

m a s s space o f space 0.182 space m o l e s space i s space 2.73 g space therefore space m a s s space o f space 1 space m o l e space equals space fraction numerator 2.73 over denominator 0.182 end fraction equals space 15 g m

M o l e c u l a r space m a s s space equals space fraction numerator 15 over denominator 2 cross times 1.67 cross times 10 to the power of negative 24 end exponent end fraction space space equals space space 111.11 g m.
Answered by Ramandeep | 17 Feb, 2018, 01:08: PM

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