The modulus of elasticity at constant temperature is

γ P

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

\frac{P}{γ}

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

P

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

\frac{P}{V}

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

Open in App

Solution

The correct option is A $P$
Bulk modulus of elasticity $B = - V \frac{d P}{d V}$
Use Perfect gas equation, $P V = R T$
From this, we get $\frac{d P}{d V} = - \frac{R T}{V^{2}}$
Put this in the expression for $B$ ,
$B = - V (\frac{- R T}{V^{2}})$ = $\frac{R T}{V}$
At constant temperature,
$B = \frac{R T}{V} = P$

Suggest Corrections

Similar questions

(V)

(P)

V \propto 1 / P

(V)

v e r s u s p r e s s u r e

a t c o n s t a n t t e m p e r a t u r e i s a h y p e r b o l a i n t h e f i r s t q u a d r a n t . R e a s o n :

V

p

K = - \frac{Δ P}{Δ V / V}

Join BYJU'S Learning Program