Answer to Question #150484 in Chemistry for ava

Question

a gas sample occupies 4.20 L under a pressure of 800. torr at 77*C. At what temperature will it occupy 3.60 L at the same pressure

Answer 1

V₁ = 4.20 L

T₁ = 77^oC + 273 = 350 K

P₁ = P₂ = 800. torr = const

V₂ = 3.60 L

T₂ = unknown

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 temperature, solve the equation for T₂:

T₂ = V₂T₁ / V₁

T₂ = (3.60 L × 350 K) / (4.20 L) = 300 K

T₂ = 300 K or 27^oC

Answer: a gas sample occupies 3.60 L  at 300 K (27^oC).