Answer to Question #341633 in General Chemistry for dale

Question

A 20.0-L volume of methane gas is heated from 25°C to 70°C at constant pressure. What is the final volume of the gas?

Answer 1

Given:

V₁ = 20.0 L

T₁ = 25°C + 273.15 = 298.15 K

P₁ = P₂ = constant

V₂ = unknown

T₂ = 70°C + 273.15 = 343.15 K

Formula: V₁/T₁ = V₂/T₂

Solution:

Since the pressure and amount of gas remain unchanged, Charles's law can be used.

Charles's law can be expressed as: V₁ / T₁ = V₂ / T₂

V₁T₂ = V₂T₁

To find the final volume of the gas, solve the equation for V₂:

V₂ = V₁T₂ / T₁

V₂ = (20.0 L × 343.15 K) / (298.15 K) = 23.0186 L = 23.0 L

V₂ = 23.0 L

Answer: The final volume of the gas is 23.0 L