Question

in this simulation, you will be exploring the relationship between temperature and pressure while keeping volume constant. click here to begin. select the explore box. answer the questions as you perform the steps. 1. raise and push down the pressure pump handle to add gas molecules to the container. the initial temperature is 300 k (27°c) and the pressure has a range of 5.4 - 6.2 atm. notice the pressure values change as the particles collide with the wall. 2. click on the bucket to raise the temperature of the container to approximately 400 k (127°c). what happened to the pressure? 3. click on the bucket to lower the temperature to approximately 200 k (-73°c). what happened to the pressure? 4. what gas law describes the relationships between temperature and pressure? decreased, increased, stayed the same

Explanation:

Step1: Recall Gay - Lussac's Law

Gay - Lussac's Law states that for a given mass of gas at constant volume, the pressure of the gas is directly proportional to its absolute temperature ($P\propto T$ or $\frac{P_1}{T_1}=\frac{P_2}{T_2}$).

Step2: Analyze temperature - pressure relationship

When the temperature of the gas in the container is increased from 200 K to 400 K (while volume is constant), since $P\propto T$, the pressure will increase proportionally. When the temperature is decreased from 400 K to 200 K, the pressure will decrease proportionally.

Answer:

1. As the temperature is increased from 300 K to 400 K, the pressure increases. As the temperature is decreased from 400 K to 200 K, the pressure decreases.
2. When the temperature of the container is approximately 400 K, the pressure is in the higher - end of the observed range (compared to 300 K). When the temperature is approximately 200 K, the pressure is in the lower - end of the observed range.
3. The relationship between temperature and pressure is a direct relationship. As the temperature increases, the pressure increases and as the temperature decreases, the pressure decreases.
4. Based on Gay - Lussac's Law, for a fixed volume of gas, the pressure of the gas is directly proportional to its absolute temperature. So when the temperature changes, the pressure changes in the same direction.