A steel tank contains carbon dioxide at 34 celsius and is at 13.0 atm. Determine the internal gas pressure when the tank and its contents are heated to 100 clesius. Do i need to convert to kevins here. There are answers using both, so which is correct.
Yes. I showed you how to do this at your earlier post. You convert to Kelvin to do the P1/T1 = P2/T2.
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In this case, you are dealing with a gas law problem, specifically Charles's Law (V1/T1 = V2/T2), where V represents volume and T represents temperature.
To determine the internal gas pressure when the tank and its contents are heated, you don't necessarily need to convert the temperatures from Celsius to Kelvin. However, it is generally recommended to use Kelvin when working with gas laws because temperature must be expressed in absolute units. The Kelvin temperature scale starts at absolute zero, which is the point where all molecular motion stops, making it ideal for gas law calculations.
Given that, let's go through the steps to solve the problem while using Kelvin:
Step 1: Convert the initial and final temperatures from Celsius to Kelvin.
T1 = 34 °C + 273.15 = 307.15 K (initial temperature)
T2 = 100 °C + 273.15 = 373.15 K (final temperature)
Step 2: Apply Charles's Law formula to solve for the final volume (V2).
V1/T1 = V2/T2
Step 3: Rearrange the equation to isolate V2.
V2 = (V1 * T2) / T1
Step 4: Substitute the given values into the equation.
V2 = (initial volume) * 373.15 K / 307.15 K
Step 5: Calculate the final volume (V2).
Now, to determine the internal gas pressure when the tank and its contents are heated, you need to apply the ideal gas law (PV = nRT), where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature in Kelvin.
Step 6: Rearrange the ideal gas law equation to solve for pressure (P):
P = (n * R * T) / V
Since the initial and final volumes are the same (the tank doesn't change its volume), the final pressure (P2) can be calculated using the following equation:
P2 = (initial pressure * final temperature) / initial temperature
Step 7: Substitute the given values into the equation.
P2 = (13.0 atm * 373.15 K) / 307.15 K
Finally, calculate the internal gas pressure when the tank and its contents are heated.
By following these steps and using Kelvin for temperature, you can determine the correct answer.