Q)There are 201 equidistant rows of spectators sitting in a hall A magician releases laughing gas n20 from the front and tear gas from the rear of the hall simultaneously. Which row spectators will have a tendency to smile and weep simultaneously. Molar mass of tear gas is 176.

Asked by Anish | 14th Mar, 2019, 11:14: AM

Expert Answer:

Let us assume any X row from front,

We know,

 

Rate space of space flow space of space gas space equals fraction numerator Distance space travelled over denominator Time end fraction

For spontaneous mixing of gases,

 straight R subscript 1 over straight R subscript blank space equals square root of straight M subscript 2 over straight M subscript 1 end root

Where,

R1 and R2 are rates of two gases

Mand M2 = molar mass of the gases

Let the distance be x and (201- x)

So,

 

Rate space of space flow space of space gas space straight R subscript 1 equals straight x over Time

Rate space of space flow space of space gas space straight R subscript 2 equals fraction numerator 201 minus straight x over denominator Time end fraction

For spontaneous mixing of gases,

 

straight R subscript 1 over straight R subscript blank space equals square root of straight M subscript 2 over straight M subscript 1 end root

fraction numerator begin display style bevelled straight x over straight T end style over denominator begin display style bevelled fraction numerator 201 minus straight x over denominator straight T end fraction end style end fraction equals square root of 176 over 44 end root

space space space fraction numerator straight x over denominator 201 minus straight x end fraction space equals space square root of 4

space space space space space space space space space space space space space space space straight x equals space 2 open parentheses 201 minus straight x close parentheses

space space space space space space space space space space space space space straight x space equals space 402 minus 2 straight x

space space space space space space space space space space space space space space straight x equals 402 over 3

space space space space space space space space space space space space space space space space equals space 134

134 th row spectators will have a tendency to weep and smile simultaneously.

Answered by Varsha | 14th Mar, 2019, 04:14: PM

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