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The ratio of speed of sound in a gas to that in water vapours

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The ratio of speed of sound in a gas to that in water vapours at any temperature is. (when molecular weight of gas is 40 gm/mol and for water vapours is 18 gm/mol)

0.75

0.73

0.68

none of these

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The ratio of speed of sound in a gas to that in water vapours at any temperature is. (when molecular weight of gas is 40 gm/mol and for water vapours is 18 gm/mol)

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Text solutionVerified

Speed of sound in medium is given by

v = \frac{v RT}{m}

where

R =

Gas constant

T =

Temperature

m =

mass of gas

v =

constant for given gas

v α \frac{4}{m}

D_{1} = 1.66

D_{2} = 1.33

m_{1} = 40

m_{2} = 18

\frac{v _{1}}{v _{2}} = \frac{D _{1}}{D _{2}} = \frac{m _{2}}{m _{1}} =

= \frac{1.66 \times 18}{1.33 \times 40} = 0.75

\frac{v _{1}}{v _{2}} = 0.75

A n s w er i s A

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Question Text	The ratio of speed of sound in a gas to that in water vapours at any temperature is. (when molecular weight of gas is 40 gm/mol and for water vapours is 18 gm/mol)
Answer Type	Text solution:1
Upvotes	150

The ratio of speed of sound in a gas to that in water vapours at any temperature is. (when molecular weight of gas is 40 gm/mol and for water vapours is 18 gm/mol)

Text solutionVerified

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