Question

A cylinder of capacity 20 litres is filled with
H2 gas. The total average kinetic energy of
translatory motion of its molecules is
1.5 10^5 J. The pressure of hydrogen in the
cylinder is ( with method please)

1) 2 x 10^6 N/m^2

2) 3 x 10^6 N/m^2

3) 4 x 10^6 N/m^2

4) 5 10^6 N/m^2​

Answer 1

Answer:

Explanation:

Solution,

Here, we have

Volume, V = 20 L= 20 × 10⁻³ m³

Kinetic energy, E = 1.5 × 10⁵ J

To Find,

Pressure, P = ?

Here, we know that,

⇒ P = 1/3 ρvrm/s²

⇒ P = 1/3 × m/v × vrm/s²

⇒ P = 1/3 × m/v × 2KE/M

⇒ P = 2KE/3v

So, putting all the values, we get

⇒ P = 2/3 × 1.52 × 10⁵/200 × 10⁻³

⇒ P = 5 × 10⁵ N/m²

Hence, the pressure is 5 × 10⁵ N/m².

Here, the fourth option i.e 5 × 10⁶ N/m² is correct.