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

Byju's Answer

Standard VII

Mathematics

Exponents with Like Bases

If b = mass...

Question

If $b$ = mass/density
The dimensions of $b$ are the same as those of

P

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

V

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

P V

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

n R T

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

Open in App

Solution

The correct option is C $V$
$b$ $=$ mass/ density
mass $=$ volume $X$ density
thus, volume $=$ mass/density
$b$ $=$ volume $(V)$

Suggest Corrections

Similar questions

Q. The gas equation for

n

moles of a real gas is

(P + \frac{a}{V^{2}}) (V - b) = n R T

, where

P

is the pressure,

V

is the volume,

T

is the absolute temperature,

R

is the molar gas constant and

a, b

are arbitrary constants. Which of the following have the same dimensions as those of

P V

Q. In the formula

P = \frac{n R T}{V - b} e^{- \frac{a}{R T V}}

. Find the dimensions of

a

and

b

where

P = p r e s s u r e, n = n u m b e r o f m o l e s, T = t e m p e r a t u r e, V = v o l u m e a n d R = u n i v e r s a l g a s c o n s t a n t

Q. The equation of a gas is given by :

P V = A T + B T^{2}

, where

P =

pressure,

V =

volume,

T =

temperature. The dimensions of constant B are

Q. The Van der Wall equation for

1

mole of a real gas is

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

where

P

is the pressure,

V

is the volume,

T

is the absolute temperature,

R

is the molar gas constant and

a, b

are Van der Wall constants. The dimensions of

a

are the same as those of :

Q. For n moles of gas Vander waal's equation is

(P - \frac{a}{V^{2}}) (V - b) = n R T

Find the dimensions of a and b, where P is gas pressure, V = volume of gas T = temperature of gas

Join BYJU'S Learning Program

If b = mass/densityThe dimensions of b are the same as those of

The correct option is C Vb = mass/ densitymass = volume X densitythus, volume = mass/densityb = volume (V)

If $b$ = mass/density
The dimensions of $b$ are the same as those of

The correct option is C $V$
$b$ $=$ mass/ density
mass $=$ volume $X$ density
thus, volume $=$ mass/density
$b$ $=$ volume $(V)$