which law relates to the ideal gas law?\no $p_1t_1 = p_2t_2$\no $p_1n_1 = p_2n_2$\no $\\frac{v_1}{n_1}=\\frac…

which law relates to the ideal gas law?\no $p_1t_1 = p_2t_2$\no $p_1n_1 = p_2n_2$\no $\\frac{v_1}{n_1}=\\frac{v_2}{n_2}$\no $\\frac{p_1}{v_1}=\\frac{p_2}{v_2}$

which law relates to the ideal gas law?\no $p_1t_1 = p_2t_2$\no $p_1n_1 = p_2n_2$\no $\\frac{v_1}{n_1}=\\frac{v_2}{n_2}$\no $\\frac{p_1}{v_1}=\\frac{p_2}{v_2}$

Answer

Explanation:

Step1: Recall ideal gas law

The ideal gas law is $PV = nRT$.

Step2: Analyze each option

  • Option 1: $P_1T_1=P_2T_2$ is not a correct - derived relationship from the ideal gas law.
  • Option 2: $P_1n_1 = P_2n_2$ is not a correct - derived relationship from the ideal gas law.
  • Option 3: From $PV=nRT$, at constant $P$ and $T$, $V$ is proportional to $n$, so $\frac{V_1}{n_1}=\frac{V_2}{n_2}$. This is Avogadro's law which is related to the ideal gas law.
  • Option 4: $\frac{P_1}{V_1}=\frac{P_2}{V_2}$ is not a correct - derived relationship from the ideal gas law.

Answer:

$\frac{V_1}{n_1}=\frac{V_2}{n_2}$