# What is the general relationship between temperature and atmospheric pressure

### Relationships among Pressure, Temperature, Volume, and Amount

The pressure (P) of gas is inversely proportional to the volume (V) of gas. This means that as we hold temperature (T) constant (same), as the pressure of gas lower than the atmospheric pressure, air molecules are able to rush in General properties of gases, Homogeneous substance, How atomic size. The relationship between the two is that air temperature changes the air pressure . For example, as the air warms up the molecules in the air become more active. As you increase altitude, the air gets increasingly rarer, which leads to a loss of pressure. Temperature is directly proportional to pressure, so the lower the pressure, Also recognize this is an average model, weather causes deviations from it.

Charles's Law Hot air rises, which is why hot-air balloons ascend through the atmosphere and why warm air collects near the ceiling and cooler air collects at ground level.

Because of this behavior, heating registers are placed on or near the floor, and vents for air-conditioning are placed on or near the ceiling.

The fundamental reason for this behavior is that gases expand when they are heated. Because the same amount of substance now occupies a greater volume, hot air is less dense than cold air. The substance with the lower density—in this case hot air—rises through the substance with the higher density, the cooler air.

A sample of gas cannot really have a volume of zero because any sample of matter must have some volume.

## What is the relationship between temperature, air pressure, wind and moisture?

Note from part a in Figure 6. Similarly, as shown in part b in Figure 6.

The Relationship between Volume and Temperature. The temperature scale is given in both degrees Celsius and kelvins.

• What’s the relationship between pressure and volume of gas?

The significance of the invariant T intercept in plots of V versus T was recognized in by the British physicist William Thomson —later named Lord Kelvin.

At constant pressure, the volume of a fixed amount of gas is directly proportional to its absolute temperature in kelvins. This relationship, illustrated in part b in Figure 6.

The Relationship between Amount and Volume: InAvogadro postulated that, at the same temperature and pressure, equal volumes of gases contain the same number of gaseous particles Figure 6.

Equal volumes of four different gases at the same temperature and pressure contain the same number of gaseous particles. Because the molar mass of each gas is different, the mass of each gas sample is different even though all contain 1 mol of gas. At constant temperature and pressure, the volume of a sample of gas is directly proportional to the number of moles of gas in the sample. Note For a sample of gas, V increases as P decreases and vice versa V increases as T increases and vice versa V increases as n increases and vice versa The relationships among the volume of a gas and its pressure, temperature, and amount are summarized in Figure 6.

Volume increases with increasing temperature or amount but decreases with increasing pressure.

Air pressure and temperature demo

The thermometer and pressure gauge indicate the temperature and the pressure qualitatively, the level in the flask indicates the volume, and the number of particles in each flask indicates relative amounts. Since these are real time weather readings, the weather stations for each of the locations may submit the current temperatures to the weather web site at different times during the day, and therefore you should only compare the high temperature readings for today's forecast.

### Relationships among Pressure, Temperature, Volume, and Amount - Chemistry LibreTexts

Analyze the Data The effect that elevation has on temperature can be analyzed by using a scatter plot to graph the two measurements. Scatter plots demonstrate a trend in the data and are similar to line graphs in that they begin by plotting different data points. However, the difference is that each of the individual points are not connected together with a line but rather a trend line is added where approximately the same number of points occur below the line as above it.

The students can either use a spreadsheet program recommended or create a graph to manually plot the points.

It is recommended that you do not use the same elevation temperature data and you should mention that a trend line will not cross every point and that they should not connect the dots but rather estimate where the line should fall so that approximately the same number of points below the line as above it.

When explaining what a trend line is, it will be helpful to mention that when most of the data points are on or close to the trend line, this generally means there is a close relationship between the data points. On the other hand, if the data is all over the graph and it is difficult to draw the trend line, this most likely means that there is little correlation between the two variables.

Students should be able to determine the approximate change in temperature for every increase of 1,m in elevation based on the graph. The correlation coefficient corresponds to how much the different data points are correlate.

### How Does Temperature Affect Barometric Pressure? | Sciencing

For example, data points that have little or no correlation will have a correlation coefficient close to zero while data points that have a higher correlation will be closer to one.

In this example, the lineal regression equation can be used to compute the approximate temperature of a particular elevation - value x. If students used a spreadsheet program, it should be able to automatically determine both the correlation coefficient and linear regression equation. Students can either estimate the approximate temperatures at zero latitude for each of the elevations or compute the temperatures using the linear regression equation.

As above, the answers will vary slightly depending on the high temperatures of the day. Students should be able to calculate the temperature estimate however in both cases their calculation will not be equal to the real values for either Mt.

Everest or the Bentley Subglacial Trench. The reason for this is that they are both located at different latitudes which has a significant effect on their temperatures.

## 6.3: Relationships among Pressure, Temperature, Volume, and Amount

The purpose for these two questions is to provide the students an opportunity to apply their knowledge from the previous activity. Final Conclusions The students should have observed that the temperatures from the locations in Ecuador decrease as the elevation increased.

Therefore, they should be able to conclude that temperature decreases as elevation increases and vice-versa. Answers may vary however the each should be similar to the following: