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Oxygen is present in a 1-litre flask at ...

Oxygen is present in a 1-litre flask at a pressure of `7.6 xx 10^(-10)` mmHg at 0°C. Calculate the number of oxygen molecules in the flask.

Text Solution

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Pressure `=7.6 xx 10^(-10)` mm
`=0.76 xx 10^(-10) cm`
`=(0.76 xx 10^(-10))/76` atm (1 atm = 76 cm)
`=10^(-12)` atm
Volume = 1 litre, R = 0.0821 lit. Atm/K/mole. Temperature = 273 K
We know that pV = nRT or `n=(pV)/(RT)`
`n=(10^(-12) xx 1)/(0.0821 xx 273) = 0.44 xx 10^(-13)`
No. of molecules = no. of moles `xx` Av. const.
`=0.44 xx 10^(-13) xx 6.022 xx 10^(23) = 2.65 xx 10^(10)`
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