Answer to Question #154562 in Chemistry for Lexi

Question

If we have 200.0mL of gas at 17.0 C what will be the volume of this gas at 10.0 C

Answer 1

V₁ = 200.0 mL = 0.2 L

T₁ = 17.0^oC + 273 = 290 K

V₂ = unknown

T₂ = 10.0^oC + 273 = 283 K

P₁ = P₂ = const

Solution:

Since the pressure doesn't change, Charles' Law can be used.

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

V₁T₂ = V₂T₁

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

V₂ = V₁T₂/T₁

V₂ = (0.2 L × 283 K) / (290 K) = 0.1952 L = 195.2 mL

V₂ = 195.2 mL

Answer: V₂ = 195.2 mL