CameraIcon

SearchIcon

MyQuestionIcon

1

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

Compressibility Factor

Consider the ...

Question

Consider the following statement $P V_{m} = R T (1 + \frac{B}{V_{m}} + \frac{C}{V_{m}^{2}} + . . .)$ ,then $V_{m}$

A

Is independent of temperature

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

B

Is equal to

\frac{R T}{P}

at Boyle's temperature

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

C

Has the dimension of molarity

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

D

None of these

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

Open in App

Solution

The correct option is B Is equal to $\frac{R T}{P}$ at Boyle's temperature
At Boyle's temperature real gas behaves as ideal gas over an appreciable range of pressure, so $P V_{m} = R T$
$∴ V_{m} = \frac{R T}{P}$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Consider the following statements:

P V_{m} = R T (1 + \frac{B}{V_{m}} + \frac{B}{V_{m}^{2}} + . . .)

Then molar volume,

V_{m}

:

Q. Consider the following statement

P V_{m} = R T (1 + \frac{B}{V_{m}} + \frac{C}{V_{m}^{2}} + . . .)

V_{m}

Q. The coefficient B in the virial equation of state has unit:

P V_{m} = R T (1 + \frac{B}{V_{m}} + \frac{C}{V_{m}^{2}} + . . . . .)

Q. Consider the following graph of

Z v s \frac{1}{V_{m}}

drawn at low pressure and inversion temperature, using the viral form of Van der Waal's equation:

Z = 1 + (b - \frac{a}{R T}) \frac{1}{V_{m}} + \frac{b^{2}}{{V_{m}}^{2}} + . . . .

Find the critical volume

V_{c} i n c m^{3}

Q. Consider the following graph of

Z vs \frac{1}{V_{m}}

drawn at a low pressure and at inversion temperature, using the Virial form of van der Waal's equation:

Z = 1 + (b - \frac{a}{R T}) \frac{1}{V_{m}} + \frac{b^{2}}{V_{m}^{2}} + \frac{b^{3}}{V_{m}^{3}} + \dots \dots

Find the critical molar volume

(V_{c})

{cm}^{3}

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Compressibility Factor

Standard XII Chemistry

Join BYJU'S Learning Program

CrossIcon