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Multiple Choice
Using the Ideal Gas Law, how many moles of gas were added to a balloon that initially contained 2.3 moles of gas and had a volume of 1.4 L, if the final volume of the balloon is 7.2 L and the temperature and pressure remain constant?
A
10.3 moles
B
11.8 moles
C
10.8 moles
D
9.3 moles
Verified step by step guidance
1
Identify the given information: initial moles of gas (n1) = 2.3 moles, initial volume (V1) = 1.4 L, final volume (V2) = 7.2 L. The temperature and pressure are constant.
Recall the Ideal Gas Law: PV = nRT. Since temperature and pressure are constant, we can use the relationship V1/n1 = V2/n2, where n2 is the final moles of gas.
Rearrange the equation to solve for n2: n2 = (V2/V1) * n1.
Substitute the known values into the equation: n2 = (7.2 L / 1.4 L) * 2.3 moles.
Calculate the final moles of gas (n2) and determine how many moles were added by subtracting the initial moles (n1) from the final moles (n2).