For one mole of a Van der Waals gas when b - 0 and T - 300 K- the PV vs 1V plot is shown above- The value of the Van der Waals constant a atm-L2-mol-2 is

The correct option is C 1.5Vanderwaal's equation for 1 mole of gas is #160; (P+ a/V^2)(V b)=RT But, b=0 ......(given) (P+ a/V^2)(V)=RT ∴ PV ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Chemistry

Real Gases

For one mole ...

Question

For one mole of a Van der Waals gas when b = 0 and T = 300 K, the $P V$ vs $\frac{1}{V}$ plot is shown above. The value of the Van der Waals constant a $(a t m . L^{2} . m o l^{- 2})$ is

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4.5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1.5

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 1.5
Vanderwaal's equation for 1 mole of gas is
$(P + \frac{a}{V^{2}}) (V - b) = R T$

But, $b = 0$ ......(given)

$(P + \frac{a}{V^{2}}) (V) = R T$

$∴ P V = - a \times \frac{1}{V} + R T$

We know the basic general equation of straight line, $y = m x + c$

Slope $= t a n (π - θ) = - t a n θ = - a$

So, $t a n θ = a = \frac{21.6 - 20.1}{3 - 2} = 1.5$

Option C is correct.

Suggest Corrections

Similar questions

For one mole of a Van der Waals gas when b = 0 and T = 300 K, then pV vs. $\frac{1}{V}$ plot is shown in figure. The value of the Van der Waals constant "a" $(a t m L^{2} m o l^{- 2}$ )is___.

Q. For one mole of a Van der Waals' gas when b = 0 and T = 300 K, the PV vs. 1/V plot is shown below.

The value of the van der Waals' constant

^{'} a^{'}

(atm L mol

^{- 2}

)

Q. For one mole of a Van der Waals' gas when b = 0 and T = 300 K, the pV vs 1/V plot is shown below. The value of the van der Waals' constant a (atm L

m o l^{- 2}

)

Q. For one mole of a van der Waals' gas when

b = 0

and

T = 300 K

, the

P V v s 1 / V

plot is shown below. The value of the van der Waals' constant

a (a t m l i t r e^{2} m o l^{- 2})

is :

Q. For one mole of a Van der Waals gas when

b = 0

and

T = 300 K

, the

P V v s . 1 / V

plot is shown below. The value of the Van der Waals constant

a (a t m L^{2} m o l^{- 2}) :

Join BYJU'S Learning Program

For one mole of a Van der Waals gas when b = 0 and T = 300 K, the PV vs 1V plot is shown above. The value of the Van der Waals constant a (atm.L2.mol−2) is

The correct option is C 1.5Vanderwaal's equation for 1 mole of gas is (P+aV2)(V−b)=RTBut, b=0......(given)(P+aV2)(V)=RT∴PV=−a×1V+RTWe know the basic general equation of straight line, y=mx+cSlope =tan(π−θ)=−tan θ=−aSo, tanθ=a=21.6−20.13−2=1.5Option C is correct.

For one mole of a Van der Waals gas when b = 0 and T = 300 K, the $P V$ vs $\frac{1}{V}$ plot is shown above. The value of the Van der Waals constant a $(a t m . L^{2} . m o l^{- 2})$ is