Question

If 0.1000 moles of $CO _{2}$ is placed in a container at $10.00 atm$ of pressure and 233.31 $K$, the resulting observed volume is $0.1670 L$. What is the calculated value of $R$ (in the units of $L \times$ atm $\left.mol ^{-1} K ^{-1}\right)$ ? Express your answer to 4 significant figures.

Answer 1

To track down the worth of the best gas consistent (\(R\)), you can utilize the Best Gas Regulation:

\[ PV = nRT \]

Revamp the condition to tackle for \(R\):

\[ R = \frac{{PV}}{{nT}} \]

Presently, plug in the given qualities:

\[ R = \frac{{(10.00 \, \text{{atm}}) \times (0.1670 \, \text{{L}})}}{{(0.1000 \, \text{{mol}}) \times (233.31 \, \text{{K}})}} \]

Compute this articulation to track down the worth of \(R\). Report your solution to four huge figures, remembering the units of \(R\) are in \(\text{{L}} \times \text{{atm}} \times \text{{mol}}^{-1} \times \text{{K}}^{-1}\).