What does the slope represent in a volume vs temp. graph for air?
Anything not listed is constant. Pressure, number of moles, humidity, surroundings, the composition of the air and so on into the night. Regarding the composition and number of moles I would think we understand that the experimental set up used uses the same sample but varied the T and measured the volume with the same set up as opposed to different set ups used in different rooms or different buildings.
Read about that here.
https://chemistrygod.com/charles-law-graph
It spells out the slope in volume vs T for ANY gas, ideal behavior of course @ constant pressure.
So constant pressure would be the slope because the slope is k? When the equation is V=kT. So n= # of mole would not be considered part of the constant?
Some call the slope coefficient of volumetric expansion.
@ anonymous---No, k is the slope of the line. Did you read the link I gave you. It states clearly that the slope is k in V = kT. The site also states that V = kT when T is in kelvin and pressure is constant.
Yes, I understand k is the slope of the line, but I guess what I'm wondering is since k is the constant - what does it represent in terms of the ideal gas law? I was assuming it would be both p and n being constant right? The pressure is constant with Charles law , but would n also play a role in "k" being the slope.
In a volume vs. temperature graph for air, the slope represents the thermal expansion coefficient of the gas. It quantifies how the volume of the gas changes with a change in temperature.
To determine the slope, you need two points on the graph. Choose two points that lie on the line representing the relationship between volume and temperature for air. The slope is then calculated using the formula:
slope = (change in volume) / (change in temperature)
To determine the change in volume, subtract the initial volume from the final volume. Similarly, subtract the initial temperature from the final temperature to determine the change in temperature.
Once you have these values, simply divide the change in volume by the change in temperature to obtain the slope. The slope will have units of volume per unit temperature, such as cubic meters per degree Celsius.