Question

What does the following plot represent for an ideal gas?

• A. Charles's Law
• B. Boyle's Law
• C. Avogadro's Law
• D. Gay-Lussac's Law

Answer 1

The correct option is D Gay-Lussac's Law

From the $P\text{vs}T$ graph, we can say that the graph is a straight line passing through the origin.
For an ideal gas,
$PV=nRT$
or $P=\left(\frac{nR}{V}\right)T........\left(1\right)$
Comparing $\left(1\right)$ with the equation of a straight line $Y=mX+c$, we can conclude that $P\propto T$, only when volume is constant, which is the statement of Gay-Lussac's law.
So, the graph represents Gay-Lussac's law for different values of $\left(\frac{nR}{V}\right)$.
Hence, option (d) is the correct answer.