Answer to Question #170258 in Chemistry for gigi

Question

A natural gas tank is constructed so that the pressure remains constant. On a hot day when the temperature was 33°C, the volume of gas in the tank was determined to be 3000.0 L. What would the volume be on a warm day when the temperature is 11°C?

Answer 1

V₁ = 3000.0 L

T₁ = 33°C + 273 = 306 K

P = const

V₂ = unknown

T₂ = 11°C + 273 = 284 K

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 = (3000.0 L × 284 K) / (306 K) = 2784.3137 L = 2784.3 L

V₂ = 2784.3 L

Answer: V₂ = 2784.3 L.