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

Ideal Gas Equation

At constant p...

Question

At constant pressure of 0.0823 atm, log V vs log T are plotted for 3 mole samples of an ideal gas. V and T are in litre and K. Which of the following statements are not correct?

The curve is a straight line with slope −1.

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

The curve is straight line with slope +1.

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

The intercepet on Y−axis is equal to 2.

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

The intercepet on Y−axis is equal to 0.48

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

Open in App

Solution

The correct options are
A

The curve is a straight line with slope −1.

C The intercepet on Y−axis is equal to 2.
$P V = n R T$ or $log V = log T + log \frac{n R}{P}$
$S l o p e = tan θ = tan 45^{\circ} = 1$
$I n t e r c e p t = log \frac{n R}{P} = log [\frac{3 \times 0.0821}{0.0821}] = 0.477121 = 0.48$
Options A and C are incorrect statements.

Suggest Corrections

Similar questions

Q. A graph is plotted between

log V

and

log T

for 2

m o l

of gas at constant pressure of 0.0821

a t m

V

and

T

are in

L

and

K

. Which of the following statements are correct?

I .

The curve is straight line with slope -1.

I I .

The curve is straight line with slope

+ 1

I I I .

The intercept on

Y

-axis is equal to 2.

I V .

The intercept on

Y

-axis is equal to 0.3010.

Q. For one mole of an ideal gas, the slope of

V

vs.

T

curve at constant pressure of

2 a t m

X L {m o l}^{- 1} K^{- 1}

. The value of the ideal universal gas constant

^{'} R^{'}

in terms of

X

is :

Q. At a constant pressure P, the plot of volume (V) as a function of temperature(T) for

2

moles of an ideal gas gives a straight line with a slope

0.328

K^{- 1}

. The value of P(in atm) is closest to :

[Gas constant,

R = 0.0821

L atm

m o l^{- 1}

K^{- 1}

Q. A graph plotted between

l o g (\frac{x}{m})

l o g P

(

P

is pressure of gas in atm) shows a straight line with slope equal to

1

and intercept equal to

0.4771

. The extent of adsorption

(\frac{x}{m})

of gas at the pressure

2

atm is :

Q. The plots of

l o g V v s . l o g T

at constant

P

for 1 mole of an ideal gas gives intercept equal to:

Join BYJU'S Learning Program

At constant pressure of 0.0823 atm, log V vs log T are plotted for 3 mole samples of an ideal gas. V and T are in litre and K. Which of the following statements are not correct?

The correct options are A The curve is a straight line with slope −1. C The intercepet on Y−axis is equal to 2.PV=nRT or logV=logT+lognRPSlope=tanθ=tan45∘=1Intercept=lognRP=log[3×0.08210.0821]=0.477121=0.48Options A and C are incorrect statements.