Question

A gas in a closed, flexible container is slowly cooled from 50C to 25C. what is the ratio of the final volume of the gas to its initial volume? assume ideal gas behavior. A. 2/1

B. 1.08/1
C. 0.923/1
D. 0.5/1

Answer 1

The ratio of the final volume of the gas to its initial volume is approximately 0.923/1.

Step-by-step explanation:

When a gas undergoes a temperature change, assuming constant pressure and amount of gas, the volume of the gas changes according to Charles' Law. Charles' Law states that the volume of a gas is directly proportional to its temperature (in Kelvin). The equation for Charles' Law is V₁/T₁ = V₂/T₂, where V₁ and T₁ are the initial volume and temperature, and V₂ and T₂ are the final volume and temperature.

In this case, the initial temperature is 50°C, which is equivalent to 323K, and the final temperature is 25°C, which is equivalent to 298K. Assuming constant pressure and amount of gas, we can use Charles' Law to calculate the final volume ratio:

V₁/T₁ = V₂/T₂

V₁/323 = V₂/298

V₂/V₁ = (298/323) ≈ 0.923

Therefore, the ratio of the final volume of the gas to its initial volume is approximately 0.923/1.