The density of a gas is 6 × 10-2 kg/m3 and the root mean square velocity of the gas molecules is 500 m/s. The pressure exerted by the gas on the walls of the vessel is

Question

The density of a gas is 6 × 10-2 kg/m3 and the root mean square velocity of the gas molecules is 500 m/s. The pressure exerted by the gas on the walls of the vessel is (A)  5 × 103 N/m2 (B)  1.2 × 10-4 N/m2 (C)  0.83 × 10-4 N/m2 (D) 30 N/m2

Tardigrade Admin · Accepted Answer

P = (1/3) ρ v bar2 = (1/3) ×(6 ×10-2)×(500)2 = 5 ×103 N /m2

Q. The density of a gas is $6 \times 1 0^{- 2} k g / m^{3}$ and the root mean square velocity of the gas molecules is 500 m/s. The pressure exerted by the gas on the walls of the vessel is

$5 \times 1 0^{3} N / m^{2}$

$1.2 \times 1 0^{- 4} N / m^{2}$

$0.83 \times 1 0^{- 4} N / m^{2}$

$30 N / m^{2}$

$P = \frac{1}{3} ρ v^{\overset{ˉ}{2}} = \frac{1}{3} \times (6 \times 1 0^{- 2}) \times (500)^{2}$
$= 5 \times 1 0^{3} N / m^{2}$

Q. The density of a gas is 6×10−2kg/m3 and the root mean square velocity of the gas molecules is 500 m/s. The pressure exerted by the gas on the walls of the vessel is

5×103N/m2

1.2×10−4N/m2

0.83×10−4N/m2

30N/m2