so we did a chemistry lab to find the relationship between temperature and volume or charle's law. In the experiment, i got t1v1=372K, 267.2 cm^3

t2v2=277K,169.1 cm^3
so i graphed that
THen they told us to chose 2 other points from that line, TaVa and TbVb and find its K value.
i chose TaVa=200, 70
TbVb=240,110
then k value of TaVa=0.35
K value of TbVb=0.46
Then they asked what does the point at which your curve crosses the horizontal axis represent?

The point at which your curve crosses the horizontal axis represents the temperature at which the volume of the gas would theoretically be zero. In other words, it is the temperature at which the gas would completely condense or become a solid. This point is also known as the absolute zero temperature.

To understand this concept, let's look at the relationship between temperature and volume in Charles's Law. Charles's Law states that the volume of a gas is directly proportional to its temperature when the pressure and amount of gas are held constant. Mathematically, it can be expressed as V/T = k, where V is the volume, T is the temperature, and k is a constant.

In your experiment, you collected data points (T1, V1) and (T2, V2) from which you derived the equation T1V1 = T2V2. You then selected two additional points (Ta, Va) and (Tb, Vb) on the line and determined their respective k values.

By extending the line backwards towards the y-axis (volume axis), you will eventually reach a point where the volume would be zero. This point corresponds to a temperature of absolute zero or 0 Kelvin (-273.15 degrees Celsius or -459.67 degrees Fahrenheit). At absolute zero, theoretically, all molecular motion ceases, and the gas assumes its most condensed state.

Therefore, the point at which your curve crosses the horizontal axis represents the temperature of absolute zero, beyond which temperatures cannot go.