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_2 ) in terms of ( p_1 ), ( v_1 ) and ( v_2 ).

Explanation:

Step1: Isolate \( P_2 \)

Given \( P_1V_1 = P_2V_2 \), divide both sides by \( V_2 \).
$$\frac{P_1V_1}{V_2}=\frac{P_2V_2}{V_2}$$

Step2: Simplify

Since \(\frac{V_2}{V_2} = 1\), we get \( P_2=\frac{P_1V_1}{V_2} \).

Answer:

\( P_2=\frac{P_1V_1}{V_2} \)