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Q6. The pressure $p$ and volume $v$ of a gas are believed to be related by a law of the form $p = Cv^n$, where $C$ and $n$ are constants. Experimental values of $p$ and corresponding values of $v$ obtained in a laboratory are: \begin{tabular}{|c|c|} \hline $p$ (Pa) & $v(m^3)$ \\ \hline 2.28$\times$10$^5$ & 3.2$\times$10$^{-2}$ \\ 8.04$\times$10$^5$ & 1.3$\times$10$^{-2}$ \\ 20.3$\times$10$^6$ & 6.7$\times$10$^{-3}$ \\ 5.05$\times$10$^6$ & 3.5$\times$10$^{-3}$ \\ 1.82$\times$10$^7$ & 1.4$\times$10$^{-3}$ \\ \hline \end{tabular} Verify that the law is true and determine approximate values of $C$ and $n$.

          Q6.
The pressure $p$ and volume $v$ of a gas are believed to be related by a law of the form $p = Cv^n$, where
$C$ and $n$ are constants. Experimental values of $p$ and corresponding values of $v$ obtained in a
laboratory are:
\begin{tabular}{|c|c|}
\hline
$p$ (Pa) & $v(m^3)$ \\
\hline
2.28$\times$10$^5$ & 3.2$\times$10$^{-2}$ \\
8.04$\times$10$^5$ & 1.3$\times$10$^{-2}$ \\
20.3$\times$10$^6$ & 6.7$\times$10$^{-3}$ \\
5.05$\times$10$^6$ & 3.5$\times$10$^{-3}$ \\
1.82$\times$10$^7$ & 1.4$\times$10$^{-3}$ \\
\hline
\end{tabular}
Verify that the law is true and determine approximate values of $C$ and $n$.

Q6.
The pressure p and volume v of a gas are believed to be related by a law of the form p = Cv^n, where
C and n are constants. Experimental values of p and corresponding values of v obtained in a
laboratory are:

p (Pa) v(m^3)

2.28×10^5 3.2×10^-2

8.04×10^5 1.3×10^-2

20.3×10^6 6.7×10^-3

5.05×10^6 3.5×10^-3

1.82×10^7 1.4×10^-3

Verify that the law is true and determine approximate values of C and n.

Added by Teresa Y.

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