**Boyle's Law and Charles's Law Problems**---**Summary and Problem Solving Exercises****2. Summarize Boyle’s Law and Charles’s Law (using equations) and solve the following problems:****a.** Given an initial pressure of 67.5 mmHg and 500 mL, what is the final pressure in a 125 mL container?**b.** Given 3.5 L at 295 K of a gas, what is the final volume when heated to 310 K?**c.** Verify your answers by indicating proportional or inversely proportional changes in factors.---**Detailed Explanation:**1. **Boyle’s Law** states that the pressure of a given mass of gas is inversely proportional to its volume at a constant temperature. Mathematically, it is expressed as: \[ P_1V_1 = P_2V_2 \] Where \( P_1 \) and \( V_1 \) are the initial pressure and volume, and \( P_2 \) and \( V_2 \) are the final pressure and volume, respectively.2. **Charles’s Law** states that the volume of a gas is directly proportional to its temperature (in Kelvin) at constant pressure. Mathematically, it is expressed as: \[ \frac{V_1}{T_1} = \frac{V_2}{T_2} \] Where \( V_1 \) and \( T_1 \) are the initial volume and temperature, and \( V_2 \) and \( T_2 \) are the final volume and temperature, respectively.Let's apply these laws to solve the given problems.---**Part a:** Using Boyle’s Law to find the final pressure.Given: - Initial pressure (\( P_1 \)) = 67.5 mmHg - Initial volume (\( V_1 \)) = 500 mL - Final volume (\( V_2 \)) = 125 mLUsing the formula:\[ P_1V_1 = P_2V_2 \]\[ 67.5 \, \text{mmHg} \times 500 \, \text{mL} = P_2 \times 125 \, \text{mL} \]\[ P_2 = \frac{67.5 \

(a)The initial pressure is 67.5 mmHg. The initial volume is 500 mL. The final pressure is a 125 mL.

2. Summarize what Boyle's Law and Cha and solve the following problems: a. Given an initial pressure of 67.5mmHg and 500ML, what is the final pressure in a 125mL container? b. Given 3.5L at 295K of a gas, what is the final volume when heated to 310K? es s Law (using equations) c. Verify your answers by indicating proportional or inversely proportional changes in factors.

2. Summarize what Boyle's Law and Cha and solve the following problems: a. Given an initial pressure of 67.5mmHg and 500ML, what is the final pressure in a 125mL container? b. Given 3.5L at 295K of a gas, what is the final volume when heated to 310K? es s Law (using equations) c. Verify your answers by indicating proportional or inversely proportional changes in factors.

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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