Question

solve the equation for t₁.
\frac{p₁v₁}{t₁}=\frac{p₂v₂}{t₂}
t₁=□
(type a single fraction.)

Explanation:

Step1: Cross - multiply the equation

$$\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}\Rightarrow P_1V_1T_2 = P_2V_2T_1$$

Step2: Solve for \(T_1\)

Divide both sides of the equation \(P_1V_1T_2 = P_2V_2T_1\) by \(P_2V_2\).
$$T_1=\frac{P_1V_1T_2}{P_2V_2}$$

Answer:

\(\frac{P_1V_1T_2}{P_2V_2}\)