moles of gas. A sample of krypton gas that occupies a volume of 28.2 L at a temperature of 0 °C and a pressure of 1 atm contains

Chemistry
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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
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**Problem Statement:**

A sample of krypton gas that occupies a volume of 28.2 L at a temperature of 0°C and a pressure of 1 atm contains _______ moles of gas.

---

**Instructions for Students:**

1. **Objective:** Calculate the number of moles of krypton gas in the given sample using the Ideal Gas Law.

2. **Given Data:**
   - Volume (V) = 28.2 Liters (L)
   - Temperature (T) = 0°C (which is 273.15 K in Kelvin)
   - Pressure (P) = 1 atm

3. **Required:**
   - Calculate the number of moles (n) of the krypton gas.

4. **Equation:** 
   - Use the Ideal Gas Law: PV = nRT
     where:
     - P is the pressure,
     - V is the volume,
     - n is the number of moles,
     - R is the universal gas constant (0.0821 L·atm/(K·mol)),
     - T is the temperature in Kelvin.

5. **Steps to Solve:**
   - Convert 0°C to Kelvin: \( T(K) = 0 + 273.15 = 273.15 \text{ K} \)
   - Rearrange the Ideal Gas Law to solve for n: \( n = \frac{PV}{RT} \)
   - Substitute the provided values into the equation and solve for the number of moles.

6. **Note:**
   - Ensure to use the correct units to maintain consistency and accuracy in calculations.
Transcribed Image Text:**Problem Statement:** A sample of krypton gas that occupies a volume of 28.2 L at a temperature of 0°C and a pressure of 1 atm contains _______ moles of gas. --- **Instructions for Students:** 1. **Objective:** Calculate the number of moles of krypton gas in the given sample using the Ideal Gas Law. 2. **Given Data:** - Volume (V) = 28.2 Liters (L) - Temperature (T) = 0°C (which is 273.15 K in Kelvin) - Pressure (P) = 1 atm 3. **Required:** - Calculate the number of moles (n) of the krypton gas. 4. **Equation:** - Use the Ideal Gas Law: PV = nRT where: - P is the pressure, - V is the volume, - n is the number of moles, - R is the universal gas constant (0.0821 L·atm/(K·mol)), - T is the temperature in Kelvin. 5. **Steps to Solve:** - Convert 0°C to Kelvin: \( T(K) = 0 + 273.15 = 273.15 \text{ K} \) - Rearrange the Ideal Gas Law to solve for n: \( n = \frac{PV}{RT} \) - Substitute the provided values into the equation and solve for the number of moles. 6. **Note:** - Ensure to use the correct units to maintain consistency and accuracy in calculations.
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