Question

solve the equation for ( v_1 ).

\frac{p_1 v_1}{t_1} = \frac{p_2 v_2}{t_2}

( v_1 = ) (type a single fraction.)

Explanation:

Step1: Multiply both sides by \(T_1\)

$$\frac{P_1V_1}{T_1}\times T_1=\frac{P_2V_2}{T_2}\times T_1$$
$$P_1V_1=\frac{P_2V_2T_1}{T_2}$$

Step2: Divide both sides by \(P_1\)

$$V_1=\frac{P_2V_2T_1}{P_1T_2}$$

Answer:

\(\frac{P_2V_2T_1}{P_1T_2}\)