100 m3 of hydrogen at normal atmospheric pressure is injected into a 5 m3 steel cylinder.

100 m3 of hydrogen at normal atmospheric pressure is injected into a 5 m3 steel cylinder. Find the pressure in the cylinder.

Given:

The volume of hydrogen V1 = 100 m³;

The pressure is normal;

p1 = 10 ^ 5 Pa;

The volume of the steel cylinder is V2 = 5 m³;

Find the pressure in the cylinder p2.

Solution:

1) To calculate p2, we apply the proportionality:

p1 * V1 = p2 * V2;

From here we select p2.

p2 = p1 * V1 / V2.

2) Substitute the known data and calculate the pressure.

p2 = p1 * V1 / V2 = 10 ^ 5 Pa * 100 m³ / 5 m³ = 10 ^ 5 Pa * 100/5 = 10 ^ 5 Pa * 20 = 2 * 10 * 10 ^ 5 Pa = 2 * 10 ^ (1 + 5) Pa = 2 * 10 ^ 6 Pa;

Answer: p2 = 2 * 10 ^ 6 Pa.