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Using van der Waals' equation, find the ...

Using van der Waals' equation, find the constant 'a' (in atm `L^(2)mol^(-2)`) when two moles of a gas confined in 4 L flask exerts a pressure of 11.0 atmospheres at a temperature of 300 K. The value of b is 0.05 L `mol^(-1)` .(R = 0.082 atm.L/K mol)

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The van der Waals equation of state for a gas is
`(P+(an^(2))/(V^(2)))(V-nb)=nRT`
`:. (11+(axx2^(2))/(4^(2)))(4-2xx0.05)=2xx0.0821xx300`
or `a=6.46 atm L^(2) mol^(-2)`
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