Answer to Question #341615 in Chemistry for shimmy

Question

4. A 2.5 litre sample of a gas is heated from 25 degree celsius to 55 degree celsius at constant pressure. Compute the volume at the higher temperature?

Answer 1

Given:

V₁ = 2.5 L

T₁ = 25°C + 273.15 = 298.15 K

P₁ = P₂ = constant

V₂ = unknown

T₂ = 55°C + 273.15 = 328.15 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 volume at the higher temperature, solve the equation for V₂:

V₂ = V₁T₂ / T₁

V₂ = (2.5 L × 328.15 K) / (298.15 K) = 2.75 L

V₂ = 2.75 L

Answer: 2.75 L