### Challenge 7A 30 g gas sample of CO₂ occupies 27 L and exerts a pressure of 5.6 atm. Additionally, the temperature measured is exactly 263 K within the container. The pressure is then tripled, the volume is reduced by ⅓ its original value, and 25% of the gas leaks out. Calculate the new resulting temperature.**Detailed Explanation of the Problem:**1. **Initial Conditions:** - Mass of gas \( m = 30 \) g - Volume \( V_1 = 27 \) L - Pressure \( P_1 = 5.6 \) atm - Temperature \( T_1 = 263 \) K2. **Changes Applied to the Gas:** - Pressure is tripled: \( P_2 = 3 \times P_1 \) - Volume is reduced to ⅔ of its original value: \( V_2 = \frac{2}{3} V_1 \) - 25% of the gas leaks out, so 75% of the original gas remains.**Hint:**You may need to use the Ideal Gas Law and the relationships between pressure, volume, and temperature to solve for the new temperature after the changes have been applied.#### Ideal Gas Law:\[ PV = nRT \]Where:- \( P \) is the pressure- \( V \) is the volume- \( n \) is the number of moles- \( R \) is the ideal gas constant- \( T \) is the temperature in KelvinUse the initial conditions to find the number of moles \( n \) of the gas, and then apply the changes and the new conditions to calculate the resulting temperature \( T_2 \).

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CHALLENGE 7 A 30 g gas sample of CO₂ occupies 27 L and exerts a pressure of 5.6 atm. Additionally, the temperature measured is exactly 263 K within the container. The pressure is then tripled, the volume is reduced by its original value, and 25% of the gas leaks out. Calculate the new resulting temperature.

CHALLENGE 7 A 30 g gas sample of CO₂ occupies 27 L and exerts a pressure of 5.6 atm. Additionally, the temperature measured is exactly 263 K within the container. The pressure is then tripled, the volume is reduced by its original value, and 25% of the gas leaks out. Calculate the new resulting temperature.

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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