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the graph shows the volume of a sample of gas as a function of temperat…

Question

the graph shows the volume of a sample of gas as a function of temperature. determine the slope of the line and indicate the units on the slope. volume (ml) temperature (k) slope: units:

Explanation:

Step1: Select two points

Let's choose two points on the line. For example, (100, 100) and (300, 300) where the first - coordinate is temperature (in K) and the second is volume (in mL).

Step2: Apply slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $y$ represents volume $V$ and $x$ represents temperature $T$. So $m=\frac{V_2 - V_1}{T_2 - T_1}=\frac{300 - 100}{300 - 100}$.

Step3: Calculate the slope

$\frac{300 - 100}{300 - 100}=\frac{200}{200}=1$.

Answer:

1; mL/K