Ideal Gas Law Calculation: Ratio of Moles in Heated Balloon
What is the ratio of the number of moles of air in the heated balloon to the original number of moles of air in the balloon?
How can we determine the ratio using the Ideal Gas Law equation?
Final Answer:
To find the ratio of moles of air in the heated balloon to the original moles, we need to calculate it using the Ideal Gas Law equation.
The Ideal Gas Law equation, PV = nRT, can be used to calculate the number of moles of air in different conditions of the balloon. Since the pressure in the balloon is the same as the atmosphere, we can simplify the equation to V = nRT.
To find the number of moles of air in the original balloon, we need to convert the initial conditions to the appropriate units, calculate the number of moles, and then repeat the steps for the heated balloon conditions.
The ratio of moles in the heated balloon to the original moles can be calculated using the formula: Ratio = (number of moles in heated balloon) / (number of moles in original balloon).
Explanation:To calculate the number of moles, convert the pressure from torr to Pascal and temperature from Celsius to Kelvin. Use the Ideal Gas Law equation to find the number of moles in the original balloon.
Repeat the calculation with the new temperature and volume to find the number of moles in the heated balloon. Finally, determine the ratio of moles in the two conditions using the formula.