Question

boyles law demonstrates the inverse relationship between pressure and volume of gas in a container. boyles law can be represented by the formula $p_1v_1 = p_2v_2$. rewrite the formula to solve for $p_1$ in terms of $p_2$, $v_1$ and $v_2$.

Explanation:

Step1: Divide both sides by \( V_1 \)

$$P_1V_1 = P_2V_2$$
$$\frac{P_1V_1}{V_1}=\frac{P_2V_2}{V_1}$$

Step2: Simplify the left - hand side

Since \(\frac{V_1}{V_1} = 1\), we get \(P_1=\frac{P_2V_2}{V_1}\)

Answer:

\(P_1=\frac{P_2V_2}{V_1}\)