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Calculate the temperature of 2 moles of ...

Calculate the temperature of 2 moles of sulphur dioxide gas contained in a 5 L vessel at 10 bar pressure. Given that for `SO_(2)` gas, van der Waals constants are : a=6.7 bar `L^(2) mol^(-2)` and b=0.0564 L `mol^(-1)`.

Text Solution

Verified by Experts

According to van der Waals equation,
`(p+(an^(2))/(V^(2)))(V-nb)=nRT`
`"or "T=((p+(an^(2))/(V^(2)))(V-nb))/(nR)`
`n="2 mol, V = 5, L. p = 10 bar"`
`a="6.7 bar L"^(2)"mol"^(-2), b="0.0564 L mol"^(-1)`
`T=((10+(6.7xx2xx2)/((5)^(2)))(5-2xx0.0564))/(2xx0.083)`
`=((10+1.072)(5-0.1128))/(0.166)=326.6K`
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