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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 | 14 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

M₁and 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 ^throw spectators will have a tendency to weep and smile simultaneously.

Answered by Varsha | 14 Mar, 2019, 16:14: PM

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