Question

p₁ = 3, v₁ = 90; p₂ = 9, v₂ = __; 8. __ law

Explanation:

Step1: Identify the law (Boyle's Law)

Boyle's Law states that for a fixed amount of gas at constant temperature, the pressure and volume are inversely proportional, i.e., \( P_1V_1 = P_2V_2 \).

Step2: Substitute the given values

We know \( P_1 = 3 \), \( V_1 = 90 \), and \( P_2 = 9 \). Substitute into the formula:
\( 3 \times 90 = 9 \times V_2 \)

Step3: Solve for \( V_2 \)

First, calculate the left - hand side: \( 3\times90 = 270 \). Then, we have the equation \( 270=9\times V_2 \). To find \( V_2 \), divide both sides by 9: \( V_2=\frac{270}{9}=30 \).

Answer:

The value of \( V_2 \) is 30, and the law is Boyle's Law.