The equation of the line derived from the graph (y = 0.075x + 12.5), the volume of the gas at 756 K is approximately 69.7 L.
To find the volume of the gas at a given temperature, we can use the equation of the straight line that fits the graph. The equation is of the form y = mx + b, where y is the volume, x is the temperature, m is the slope, and b is the y-intercept.
To find the slope m, we can use two points on the graph, such as (100, 20) and (900, 80). The slope is given by the formula m = (y2 - y1) / (x2 - x1). Plugging in the values, we get m = (80 - 20) / (900 - 100) = 0.075.
To find the y-intercept b, we can use one point on the graph and the slope. For example, using the point (100, 20), we get 20 = 0.075 * 100 + b, which gives b = 12.5.
Now we have the equation of the line: y = 0.075x + 12.5. To find the volume at a temperature of 756 K, we plug in x = 756 and get y = 0.075 * 756 + 12.5 = 69.7.
Therefore, the volume of the gas at a temperature of 756 K is approximately 69.7 L.