Question

A sample of gas has an initial pressure of 1.5 atm, an initial volume of 3.0 L, and an initial temperature of 293K. If the final pressure is 2.5 atm and the final

temperature is 303K, what will the final volume be?

Answer 1

1.9 L

Step-by-step explanation:

Step 1: Given data

• Initial pressure (P₁): 1.5 atm

• Initial volume (V₁): 3.0 L

• Initial temperature (T₁): 293 K

• Final pressure (P₂): 2.5 atm

• Final volume (V₂): ?

• Final temperature (T₂): 303 K

Step 2: Calculate the final volume of the gas

If we assume ideal behavior, we can calculate the final volume of the gas using the combined gas law.

P₁ × V₁ / T₁ = P₂ × V₂ / T₂

V₂ = P₁ × V₁ × T₂ / T₁ × P₂

V₂ = 1.5 atm × 3.0 L × 303 K / 293 K × 2.5 atm = 1.9 L