The root mean square velocity of hydrogen molecules of an ideal hydrogen gas kept in a gas chamber at 0° C is 3180 m / s. Calculate the pressure of hydrogen gas: (Density of hydrogen gas =8.99 × 10-2 kg / m 3, atmosphere .=1.01 × 105 N / m 2)

Question

The root mean square velocity of hydrogen molecules of an ideal hydrogen gas kept in a gas chamber at 0° C is 3180 m / s. Calculate the pressure of hydrogen gas: (Density of hydrogen gas =8.99 × 10-2 kg / m 3, atmosphere .=1.01 × 105 N / m 2) (A) 3.0 atm (B) 2.0 aim (C) 1.5 atm (D) 1.0 atm

Tardigrade Admin · Accepted Answer

P =(1/3) ρ e2 =(1/3) × 8.99 × 10-2 ×(3180)2 N / m 2 =(1/3) × (8.99 × 10-2 ×(3180)2/1.01 × 105) atm =3 atm

Q. The root mean square velocity of hydrogen molecules of an ideal hydrogen gas kept in a gas chamber at $0^{\circ} C$ is $3180 m / s$ . Calculate the pressure of hydrogen gas: (Density of hydrogen gas $= 8.99 \times 1 0^{- 2} k g / m^{3}$ , atmosphere $= 1.01 \times 1 0^{5} N / m^{2})$

3.0 atm

2.0 aim

1.5 atm

1.0 atm

$P = \frac{1}{3} ρ e^{2}$
$= \frac{1}{3} \times 8.99 \times 1 0^{- 2} \times (3180)^{2} N / m^{2}$
$= \frac{1}{3} \times \frac{8.99 \times 1 0 ^{- 2} \times ( 3180 ) ^{2}}{1.01 \times 1 0 ^{5}}$ atm
$= 3$ atm

Q. The root mean square velocity of hydrogen molecules of an ideal hydrogen gas kept in a gas chamber at 0∘C is 3180m/s. Calculate the pressure of hydrogen gas: (Density of hydrogen gas =8.99×10−2kg/m3, atmosphere =1.01×105N/m2)