Answer to Question #334155 in Chemistry for shimmy

Question

1, A cylinder with a movable piston contains 255 cm³ air at 10⁰C. At what temperature would you expect the volume to be 155 cm³ if the pressure is kept constant?

Answer 1

V₁ = 255 cm³

T₁ = 10°C + 273 = 283 K

P₁ = P₂ = constant

V₂ = 155 cm³

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 temperature, solve the equation for T₂:

T₂ = V₂T₁ / V₁

T₂ = (155 cm³ × 283 K) / (255 cm³) = 172 K

T₂ = 172 K or −101°C

Answer: at 172 K