### Problem StatementA sample of an ideal gas at 1.00 atm and a volume of 1.67 L was placed in a weighted balloon and dropped into the ocean. As the sample descended, the water pressure compressed the balloon and reduced its volume. When the pressure had increased to 70.0 atm, what was the volume of the sample? Assume that the temperature was held constant.### SolutionTo solve this problem, we can use Boyle's Law, which states that for a given mass of an ideal gas kept at a constant temperature, the product of the pressure and volume is constant:\[ P_1 \times V_1 = P_2 \times V_2 \]Where:- \( P_1 = 1.00 \) atm (initial pressure)- \( V_1 = 1.67 \) L (initial volume)- \( P_2 = 70.0 \) atm (final pressure)- \( V_2 = ? \) L (final volume)Solving for \( V_2 \):\[ V_2 = \frac{P_1 \times V_1}{P_2} \]\[ V_2 = \frac{1.00 \text{ atm} \times 1.67 \text{ L}}{70.0 \text{ atm}} \]\[ V_2 = \frac{1.67}{70.0} \]\[ V_2 = 0.0238571 \text{ L} \]Therefore,\[ V = 0.024 \text{ L} \]However, the provided answer in the box is \( 41.9 \) L, which does not align with the expected solution of the equation given. This suggests there might be an error in either the data provided, the answer expected, or the calculations. Please cross-verify all values and calculations to ensure accuracy.

Answered: Image /qna-images/answer/be383022-3722-4650-ae6d-9ccb076b1ac4.jpg

A sample of an ideal gas at 1.00 atm and a volume of 1.67 L was placed in a weighted balloon and dropped into the ocean. As the sample descended, the water pressure compressed the balloon and reduced its volume. When the pressure had increased to 70.0 atm, what was the volume of the sample? Assume that the temperature was held constant. V = 41.9 L

A sample of an ideal gas at 1.00 atm and a volume of 1.67 L was placed in a weighted balloon and dropped into the ocean. As the sample descended, the water pressure compressed the balloon and reduced its volume. When the pressure had increased to 70.0 atm, what was the volume of the sample? Assume that the temperature was held constant. V = 41.9 L

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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