Question

Pls tell me how to solve this!

Answer 1

12 seconds

Step-by-step explanation:

Time taken by 50cm³ of oxygen to diffuse from pinhole

= 1 minute = 60 seconds

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`\textsf{ Rate of oxygen} \sf (O_2) = (50)/(60)`

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Let time taken by 50cm³ of hydrogen to diffuse from pinhole = t seconds

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`\textsf {Rate of hydrogen } \sf(H_2) = (50)/(t)`

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According to the formula

`\sf (Rate \: of \: hydrogen(H_2))/(Rate \: of \: oxygen(O_2) ) = \sqrt{ (Molar \: mass \: of \: O_2)/(Molar \: mass \: of \: H_2) }`

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`\large \sf (50)/(t) / (50)/(60) = \sqrt{ \frac{\cancel{32}\small 16}{\cancel2} } \\ \\ \sf \large \frac{ \cancel{50}}{t} * \frac{60}{ \cancel{50}} = √(16) \\ \\ \sf \large (60)/(t) = 4 \\ \\ \sf \large \frac{ \cancel{60} \: \small12}{ \cancel4} = t \\ \\ \large \underline{ \boxed{ \tt t = 12 \: seconds}}`

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Henceforth, the time taken by 50cm³ of hydrogen to diffuse is 12 seconds.

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Thank you!