A 4.0L sample of methane gas is collected at 30.0 celcius .predict the volume of the sample at 0 celcius.
3.6 L
To predict the volume of the sample of methane gas at 0 degrees Celsius, we can make use of Charles's Law. Charles's Law states that the volume of a gas is directly proportional to its temperature, assuming pressure remains constant.
To solve this problem, follow these steps:
1. Convert the given temperatures to the Kelvin scale since it is the absolute temperature scale. To convert from Celsius to Kelvin, add 273.15 to the Celsius value.
- 30.0 degrees Celsius + 273.15 = 303.15 K (initial temperature)
- 0 degrees Celsius + 273.15 = 273.15 K (final temperature)
2. Set up the proportion using Charles's Law:
V1 / T1 = V2 / T2
Where V1 is the initial volume, T1 is the initial temperature in Kelvin, V2 is the final volume (what we want to find), and T2 is the final temperature in Kelvin.
3. Rearrange the equation to solve for V2:
V2 = (V1 * T2) / T1
Substitute the known values into the equation:
V2 = (4.0 L * 273.15 K) / 303.15 K
4. Calculate the final volume:
V2 = (4.0 * 273.15) / 303.15
V2 = 3.614 L (rounded to three decimal places)
Therefore, the predicted volume of the methane gas sample at 0 degrees Celsius is approximately 3.614 liters.
27
V₂=T₂V₁/T₁
T₁=303 K
T₂=273 K