Question

the graph shows the volume of a sample of gas as a function of temperature. use the graph to determine the volume of the sample at a temperature of 225 k.

Explanation:

Step1: Assume linear relationship

Since the graph appears linear, we can use the two - point form of a line $y - y_1=\frac{y_2 - y_1}{x_2 - x_1}(x - x_1)$. Let $(x_1,y_1)=(200,750)$ and $(x_2,y_2)=(250,1000)$.

Step2: Calculate the slope

The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{1000 - 750}{250 - 200}=\frac{250}{50}=5$.

Step3: Find the equation of the line

Using the point - slope form with $(x_1,y_1)=(200,750)$, we have $y - 750=5(x - 200)$.

Step4: Substitute $x = 225$

When $x = 225$, $y-750=5(225 - 200)$. Then $y-750=5\times25$, so $y-750 = 125$, and $y=750 + 125=875$.

Answer:

$875$ mL