which equation agrees with the ideal gas law?\n$\frac{v_1}{t_1}=\frac{v_2}{t_2}$\n$v_1n_1 = v_2n_2$\n$p_1n_1…

which equation agrees with the ideal gas law?\n$\frac{v_1}{t_1}=\frac{v_2}{t_2}$\n$v_1n_1 = v_2n_2$\n$p_1n_1 = p_2n_2$\n$\frac{p_1}{p_2}=\frac{t_2}{t_1}$

which equation agrees with the ideal gas law?\n$\frac{v_1}{t_1}=\frac{v_2}{t_2}$\n$v_1n_1 = v_2n_2$\n$p_1n_1 = p_2n_2$\n$\frac{p_1}{p_2}=\frac{t_2}{t_1}$

Answer

Explanation:

Step1: Recall ideal gas law

The ideal - gas law is given by $PV = nRT$, where $P$ is pressure, $V$ is volume, $n$ is the number of moles, $T$ is temperature and $R$ is the ideal gas constant.

Step2: Analyze each option

  1. For a constant - pressure and constant - number of moles process ($P =$ constant and $n=$ constant), from $PV=nRT$, we can get $\frac{V_1}{T_1}=\frac{V_2}{T_2}$.
    • Starting from $PV = nRT$, when $P$ and $n$ are constant, we have $V\propto T$. So, $\frac{V_1}{T_1}=\frac{V_2}{T_2}$.
  2. From $PV = nRT$, we cannot directly get $V_1n_1 = V_2n_2$.
  3. From $PV = nRT$, we cannot directly get $P_1n_1 = P_2n_2$.
  4. From $PV = nRT$, we cannot directly get $\frac{P_1}{P_2}=\frac{T_2}{T_1}$.

Answer:

$\frac{V_1}{T_1}=\frac{V_2}{T_2}$