Question

Oxygen occupies 400 Liters at 28 degree celsius at a pressure of 70 cm Hg. What will be the new volume if the new temperature and pressure at 50 degree celsius and 75 cm Hg respectively?

Answer 1

Oxygen occupies 400 Liters at 28 degree celsius at a pressure of 70 cm Hg. What will be the new volume if the new temperature and pressure at 50 degree celsius and 75 cm Hg respectively?

Solution:

To find solution of this problem we need use the Combined Gas Law. This law we can represent in the following way:

$$P_1 * V_1 / T_1 = P_2 * V_2 / T_2$$

where

- P₁ is the initial pressure of Oxygen;

- V₁ is the initial volume of Oxygen;

- T₁ is the initial temperature measured (in kelvin) of Oxygen;

- P₂ is the final pressure of Oxygen;

- V₂ is the final volume of Oxygen;

- T₂ is the final temperature measured (in kelvin) of Oxygen;

And P₁ = 70 cm Hg; V₁ = 400 L; T₁ = 28 C°; P₂ = 75 cm Hg; T₂ = 50 C°;

T₁ = 28 C° + 273 = 301 K;

T₂ = 50 C° + 273 = 323 K;

Then

V₂ = P₁ * V₁ * T₂ / (T₁ * P₂)

V₂ = 70 * 400 * 323 / (301 * 75) = 401 L

The answer is V₂ = 401 L.