KE per unit volume is E . The pressure exerted by the gas is given by

Question

KE per unit volume is E . The pressure exerted by the gas is given by (A)  (E/3)  (B)  (2E/3)  (C)  (3E/2)  (D)  (E/2)

Tardigrade Admin · Accepted Answer

The pressure exerted by the gas, p = (1/3) p overlinec2 = ( 1 m/ 3 V) overlinec2 = (2/3) ( (1/2) m overlinec2 ) ( ∴ (1/2) m overlinec2 = (E/V) = energy per unit volume, V = 1) p= (2/3) E

Q. $K E$ per unit volume is $E$ . The pressure exerted by the gas is given by

$\frac{E}{3}$

$\frac{2 E}{3}$

$\frac{3 E}{2}$

$\frac{E}{2}$

The pressure exerted by the gas,
$p = \frac{1}{3} p \overline{c^{2}}$
$= \frac{1 m}{3 V} \overline{c^{2}}$
$= \frac{2}{3} (\frac{1}{2} m \overline{c^{2}})$
$(∴ \frac{1}{2} m \overline{c^{2}} = \frac{E}{V} =$ energy per unit volume, V = 1)
p= $\frac{2}{3}$ E

Q. KE per unit volume is E . The pressure exerted by the gas is given by

3E​

32E​

23E​

2E​