a 9.148 mol sample of nitrogen gas is maintained in a 0.8008 l container at 303.6 k. what is the pressure in atm calculated using the van der waals' equation for gas under these conditions?

Respuesta :

9.148 mol sample of nitrogen gas is maintained in a 0.8008 l container at 303.6 k.  the pressure in atm  is 330 atm.

The van der waal's  equation is given as :

( P + ( an² / V² )) ( V - nb ) = RT

P = ( nRT / (V - nb )) - ( an² / V² )

n = 9.418

V = 0.8008 L

T = 303.6 K

a = 1.39 L² mol⁻² atm

b = 3.91 × 10⁻² L mol⁻¹ atm⁻¹

R = 0.821 L atm K⁻¹ mol⁻¹

P = ( 9.418 ×0.821 × 303.6  / ( 0.8008 - 9.148 × 3.91 × 10⁻² ) - ( 1.39 ×

                                                                                             (9.148)²/(0.8008)²

P = 330 atm

Thus, 9.148 mol sample of nitrogen gas is maintained in a 0.8008 l container at 303.6 k.  the pressure in atm  is 330 atm.

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