A sample of argon gas has a volume of 735 mL at a pressure of 1.20 atm and a temperature of 112 °C. What is the final volume of the gas, in milliliters, when the pressure and temperature of the gas sample are changed to 15.4 atm and -15 °C, if the amount of gas does not change? (Hint: use the combined gas law) TK = Tc + 273 %3D Volume = mL

Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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**Problem Statement**

A sample of argon gas has a volume of 735 mL at a pressure of 1.20 atm and a temperature of 112 °C. What is the final volume of the gas, in milliliters, when the pressure and temperature of the gas sample are changed to 15.4 atm and -15 °C, if the amount of gas does not change?

(Hint: use the combined gas law)

\[ T_K = T_C + 273 \]

Volume = _______ mL

---

To solve this problem, you will use the combined gas law, which is:

\[ \frac{P_1 \times V_1}{T_1} = \frac{P_2 \times V_2}{T_2} \]

where:
- \( P_1 \) and \( P_2 \) are the initial and final pressures,
- \( V_1 \) and \( V_2 \) are the initial and final volumes,
- \( T_1 \) and \( T_2 \) are the initial and final temperatures in Kelvin.

First, convert the temperatures from Celsius to Kelvin using the provided formula.

Then, rearrange the equation to solve for the final volume \( V_2 \).
Transcribed Image Text:**Problem Statement** A sample of argon gas has a volume of 735 mL at a pressure of 1.20 atm and a temperature of 112 °C. What is the final volume of the gas, in milliliters, when the pressure and temperature of the gas sample are changed to 15.4 atm and -15 °C, if the amount of gas does not change? (Hint: use the combined gas law) \[ T_K = T_C + 273 \] Volume = _______ mL --- To solve this problem, you will use the combined gas law, which is: \[ \frac{P_1 \times V_1}{T_1} = \frac{P_2 \times V_2}{T_2} \] where: - \( P_1 \) and \( P_2 \) are the initial and final pressures, - \( V_1 \) and \( V_2 \) are the initial and final volumes, - \( T_1 \) and \( T_2 \) are the initial and final temperatures in Kelvin. First, convert the temperatures from Celsius to Kelvin using the provided formula. Then, rearrange the equation to solve for the final volume \( V_2 \).
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