If pressure of CO 2 real gas in a container is given by P - RT -2 V - b - a -4 V 2 then mass of the gas in container is A- 44 gmB- 11 gmC -22 gmD- 33 gm

The correct option is C 22 gmVander wal's gas equation for μ mole of real gas (P + μ^2α/V^2)(V μb) = μRT ⇒ P = μ RT/V μ b μ^2/V^2 on comparing the given ...

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

Byju's Answer

Standard XII

Physics

Vapour Pressure

If pressure o...

Question

If pressure of $C O_{2}$ (real gas) in a container is given by P = $\frac{R T}{2 V - b} - \frac{a}{4 V^{2}}$ then mass of the gas in container is

11 gm

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

22 gm

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

33 gm

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

44 gm

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

Open in App

Solution

The correct option is B 22 gm
Vander wal's gas equation for $μ$ mole of real gas
(P + $\frac{μ^{2} α}{V^{2}}$ )(V - $μ$ b) = $μ$ RT $\Rightarrow$ P = $\frac{μ R T}{V - μ b} - \frac{μ^{2}}{V^{2}}$
on comparing the given equation with this standard equation we get $μ = \frac{1}{2}$ . Hence $μ$ = $\frac{m}{M} \Rightarrow$ mass of gas
m = $μ M$ = $\frac{1}{2} \times 44$ = 22gm

Suggest Corrections

Similar questions

Q. If pressure of

C O_{2}

(real gas) in a container is given by P =

\frac{R T}{2 V - b} - \frac{a}{4 V^{2}}

then mass of the gas in container is

Q. If pressure of

{C O}_{2}

(real gas) in a container is given by

P = \frac{R T}{2 V - b} - \frac{a}{4 b^{2}}

, then mass of the gas in container is:

Q. There are n containers having volumes

V, 2 V, . . . . ., n V

. Same mass of a gas is filled in all containers connected with stopcock. All containers are at the same temperature if pressure of first container is

P

then final pressure when all stopcocks are opened is:

Q. A gas in container A is in thermal equilibrium with another gas of the same mass in container B. If we denote the corresponding pressure and volume of the suffixes A and B, then which of the following statements is most likely to be true?

Q. A gas in a container A is in the thermal equilibrium with another gas of the same mass in container B. If we denote the corresponding pressures and volume by the suffixes A and B, then which of the following statement is most likely to be true

Join BYJU'S Learning Program

If pressure of CO2 (real gas) in a container is given by P = RT2V−b−a4V2 then mass of the gas in container is

The correct option is B 22 gmVander wal's gas equation for μ mole of real gas (P + μ2αV2)(V - μb) = μRT ⇒ P = μRTV−μb−μ2V2 on comparing the given equation with this standard equation we get μ=12. Hence μ = mM⇒ mass of gas m = μM = 12×44 = 22gm

If pressure of $C O_{2}$ (real gas) in a container is given by P = $\frac{R T}{2 V - b} - \frac{a}{4 V^{2}}$ then mass of the gas in container is