Which of the following equation is for Boyle’s Law?*1 puntoV1n2 = V2n2V1P1 = V2P2V1/T1 = V2T2P1/T1 = P2/T2

Break Down the Problem

1. Identify Boyle's Law and its relation to gas properties.
2. Analyze each provided equation to determine which one represents Boyle's Law.

Relevant Concepts

Boyle's Law states that the pressure of a given mass of gas is inversely proportional to its volume when the temperature is held constant. This can be expressed mathematically as: $P_1 V_1 = P_2 V_2$ where $P$ is the pressure and $V$ is the volume of the gas.

Analysis and Detail

Now let us analyze each option:

1. $V_1 n_2 = V_2 n_2$: This does not represent Boyle's Law; it appears to involve the number of moles $n$.
2. $V_1 P_1 = V_2 P_2$: This matches the form of Boyle's Law, as it reflects the relationship between pressure and volume.
3. $\frac{V_1}{T_1} = \frac{V_2}{T_2}$: This is an expression related to Charles's Law, not Boyle's Law.
4. $\frac{P_1}{T_1} = \frac{P_2}{T_2}$: This is also not Boyle's Law; it relates pressure and temperature, resembling Gay-Lussac's Law.

Verify and Summarize

Upon analyzing all options, the one that adheres to the principle of Boyle's Law is: $V_1 P_1 = V_2 P_2$ as it captures the inverse relationship between pressure and volume.

Final Answer

The correct equation for Boyle's Law is $V_1 P_1 = V_2 P_2$.