Question

the universal gas law, \\(pv = nrt\\), describes the relationship among the pressure, volume, and temperature of a gas.

\\(p =\\) pressure
\\(v =\\) volume
\\(t =\\) temperature (kelvin)
\\(n =\\) number of moles (quantity of gas particles)
\\(r =\\) universal gas constant

at a constant temperature of \\(1\text{ k}\\), the pressure and volume of \\(1\text{ mole}\\) of gas vary inversely.

\\p = \frac{r}{v}\\

use the values in the table to find the value of \\(r\\).

\

$$\begin{array}{|c|c|} \\hline \\text{volume (liters)} & \\text{pressure (kilopascals)} \\\\ \\hline 4.155 & 2 \\\\ \\hline 16.62 & 0.5 \\\\ \\hline 33.24 & 0.25 \\\\ \\hline \\end{array}$$

\\(r =\\)

Explanation:

Identify the given values and formula

Using the Inverse Variation and Physical Modeling knowledge points

$$
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$$

Calculate the constant R using table values

Using the Inverse Variation knowledge point

$$
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$$

Answer:

Use the values in the table to find the value of \(R\).

\(R =\) <blank>8.31</blank>