Question

the equation $\frac{p_1v_1}{t_1}=\frac{p_2v_2}{t_2}$ is commonly known as the combined gas law, which relates the pressure, $p$, volume, $v$, and temperature, $t$, of an ideal gas between its initial (1) and final (2) states. which of the following shows the final volume in terms of the initial and final pressure, the initial and final temperatures, and the initial volume? choose 1 answer: a $v_1 = v_2$ b $v_2=\frac{p_1t_2v_1}{(t_1/p_2)}$ c $v_2=\frac{p_1t_2v_1}{p_2t_1}$ d $v_2=\frac{p_1v_1}{t_1}-\frac{t_2}{p_2}$

Explanation:

Step1: Cross - multiply the gas law equation

Starting with $\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}$, we get $P_1V_1T_2 = P_2V_2T_1$.

Step2: Solve for $V_2$

Divide both sides of the equation $P_1V_1T_2 = P_2V_2T_1$ by $P_2T_1$. So $V_2=\frac{P_1T_2V_1}{P_2T_1}$.

Answer:

C. $V_2=\frac{P_1T_2V_1}{P_2T_1}$