The van der Waals' equation for one mole may be expressed as VM3−(b+PRT)Vm2+PaVm−Pab=0 where Vm is the molar volume of the gas. Which of the followning is incorrect?

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The van der Waals' equation for one mole may be expressed as {

Question

The van der Waals' equation for one mole may be expressed as
$V_{M}^{3} - (b + \frac{R T}{P}) V_{m}^{2} + \frac{a V _{m}}{P} - \frac{a b}{P} = 0$
where $V_{m}$ is the molar volume of the gas. Which of the followning is incorrect?

For a temperature less than

T_{C}, V

has three real roots

For a temperature less than

T_{C}, V

has three imaginary roots

For a temperature equal to

T_{C}

all three roots of V are real and identical

On increasing the temp.

(T < T_{C})

, the three roots become closer to one another

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Theodore Discussed

The van der Waals' equation for one mole may be expressed as

V_{M}^{3} - (b + \frac{R T}{P}) V_{m}^{2} + \frac{a V _{m}}{P} - \frac{a b}{P} = 0

where

V_{m}

is the molar volume of the gas. Which of the followning is incorrect?

12 mins ago

Discuss this question LIVE

12 mins ago

Answer: bSolution: (b) Below critical temperature a gas can be liquified.
So

V_{m}

has three real roots and identical.

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Question Text	The van der Waals' equation for one mole may be expressed as $V_{M}^{3} - (b + \frac{R T}{P}) V_{m}^{2} + \frac{a V _{m}}{P} - \frac{a b}{P} = 0$ where $V_{m}$ is the molar volume of the gas. Which of the followning is incorrect?
Answer Type	Text solution:1
Upvotes	150