Question

Bacteria produce methane gas in sewage-treatment plants.This gas is often captured or burned. If a bacterial culture produces 60.0 mL of methane gas at 700.0 mmHg, at what pressure would the bacteria be able to produce 55.0 mL of gas? What law did you use to solve

Answer 1

764mmHg

Boyle's law

Step-by-step explanation:

Step 1: Given data

• Initial volume (V₁): 60.0 mL

• Initial pressure (P₁): 700.0 mmHg

• Final volume (V₂): 55.0 mL

• Final pressure (P₂): ?

Step 2: Calculate the final volume of methane gas

If we assume constant temperature and ideal behavior, we can calculate the final volume of methane gas using Boyle's law.

P₁ × V₁ = P₂ × V₂

P₂ = P₁ × V₁/V₂

P₂ = 700.0 mmHg × 60.0 mL/55.0 mL = 764mmHg