For one mole of a van der Waal's gas when b =o and T = 300 K, the PV vs 1V plo

Question

For one mole of a van der Waal's gas when b =o and T = 300 K, the PV vs

\frac{1}{V}

plot is shown below. The value of the Van der Waal's constant "a" (

a t m L^{2} m o l^{- 2}

) is

Options:

A . 1.0

B . 4.5

C . 1.5

D . 3.0

Answer: Option C
:
C

⟮ P + \frac{a}{V^{2}} ⟯ ⟮ V ⟯ = R T

PV +

\frac{a}{V}

= RT
y = RT –a(V)
y = RT –a(x)
So, slope = a =

\frac{21.6 - 20.1}{3 - 2} = \frac{1.5}{1} = 1.5

Was this answer helpful ?

Next Question

More Questions on This Topic :

Question 1. The compressibility factor of a gas is less than 1 at STP. Its molar volume Vm will be ....

Question 2. If pressure becomes double at the same absolute temperature on 2 L of CO2 , then the final volume of CO2 will....of CO2 , then the final volume of CO2 will be?

Question 3. Calculate the volume occupied by 16 gram O2 at 300 K and 8.31 Mpa if PcVRTc=38 and PrVrTr=2.21 ....gram O2 at 300 K and 8.31 Mpa if PcVRTc=38 and PrVrTr=2.21 ⟮:R=8.314 MpaK−mol⟯

Question 4. The rate of diffusion of Methane at certain temperature is 2 times that of gas X. The molecular mass of X is___.....

Question 5. A glass tube of volume 112 ml containing a gas is partially evacuated till the pressure in it drops to 3.8×10ȡ....of molecules of the gas remaining in the tube is

Question 6. Which of the given sets of temperature and pressure will cause a gas to exhibit the greatest deviation from ideal gas be....gas to exhibit the greatest deviation from ideal gas behavior

Question 7. Which of the following exhibits the weakest intermolecular forces ....

Question 8. Which of the following has maximum root mean square velocity at the same temperature ....

Question 9. The rate of diffusion of hydrogen and chlorine are in the ratio of 6:1. The density of chlorine as compared to that of h....of chlorine as compared to that of hydrogen will be:

Question 10. The compressibility factor for nitrogen at 330 K and 800 atm is 1.90 and at 570 K and 200 atm is 1.10. A certain mass of....same quantity of N2 gas at 750 K and 200 atm.

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Tabulation - Test Paper 2 Data Interpretation Reasoning & DI

Test Paper 1 Direction Sense Test Reasoning & DI

ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0

GFM Combined 1 Free Revision Test SAIL JO E-0