Question

A 5 L tank of oxygen with a pressure of 23 atm is moved from room temperature of 293 K to a storage freezer at 230 K. What is the final pressure inside the tank?
A. 29.0 atm

B. 18.05 atm

C. 3.61 atm

D. 2.74 atm

Answer 1

Answer: The final pressure inside the tank will be B. 18.05 atm. Gay-Lussac's law is used to predict the changes in pressure or temperature of gases. According to this law, there is a direct relationship between pressure and temperature. As the temperature of gas increases, so, too, will the pressure increase and vice versa.

Further Explanation:

We use the mathematical expression of Gay-Lussac's law to find the final pressure in the tank:

$\frac{P_{initial}}{T_{initial}} \ = \frac{P_{final}}{T_{final}}$

It is very important to note that when using this equation, all temperatures must be expressed in Kelvin. The conversion from degree Celsius to Kelvin is:

$T \ (in \ K) \ = T \ (in \ deg.\ C) \ +\ 273.15$

In the problem, we are given the following information:

P(initial) = 23 atm

T(initial) = 293 K

P(final) = ?

T(final) = 230 K

Plugging in these values in the Gay-Lussac Equation, we get:

$\frac{23\ atm}{293 \ K} \ = \ \frac{P_{final}}{230\ K} \\P_{final} \ = \frac{(23 \ atm) \ (230 \ K)}{293 \ K}\\P_{final} \ = \ 18.05 \ atm$

The tank was moved from a hotter to a cooler place. At cooler temperatures, gas particles move slower and frequency and strength of their collisions with each other and the wall of the containers decrease. This leads to a decrease in the pressure. Thus, the pressure drops from 23 atm to 18.05 atm when the tank is inside the freezer.

Learn More:

1. Learn more about Charles' Law brainly.com/question/7259721
2. Learn more about Ideal Gas Law brainly.com/question/4147359
3. Learn More about Boyle's Law brainly.com/question/8511562

Keyword: Gas Pressure, Temperature, Gay-Lussac's Law