**Problem: Calculation of Molecular Weight**Calculate the molecular weight of Freon-12, if 122.70 liters of its vapor at 200.00°C and 790.00 mm Hg has a mass of 397.00 g. **Show your work.****Solution Approach**To find the molecular weight of Freon-12, we can use the Ideal Gas Law, which is given by:\[ PV = nRT \]Where:- \( P \) = Pressure in atm- \( V \) = Volume in liters- \( n \) = Number of moles- \( R \) = Ideal gas constant = 0.0821 L·atm/(mol·K)- \( T \) = Temperature in Kelvin**Steps:**1. Convert the given pressure from mm Hg to atm: \[ P = \frac{790.00 \, \text{mm Hg}}{760.00 \, \text{mm Hg/atm}} \]2. Convert the given temperature from Celsius to Kelvin: \[ T = 200.00 + 273.15 \, \text{K} \]3. Rearrange the Ideal Gas Law to solve for \( n \) (number of moles): \[ n = \frac{PV}{RT} \]4. Use the mass of Freon-12 to find the molecular weight: \[ \text{Molecular Weight} = \frac{\text{Mass}}{n} \]Plug in the values and calculate accordingly.

Here given, Volume (V) = 122.7 L Pressure (P) = 790 mm Hg = 1.03947 atm (1 atm = 760 mm Hg)…

Answered: Calculate the molecular weight of…

Calculate the molecular weight of Freon-12, if 122.70 liters of its vapor at 200.00°C and 790.00 mm Hg has a mass of 397.00 g. Show your work.

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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Concept explainers

Kinetic-Theory of Gases

Kinetic theory of gases is the model or method which was developed in the 19th century by Maxwell and Boltzmann. This is possible as the interatomic force which is of short-range forces that are important for solids and liquids can be neglected for gases. This theory or gas law gives a molecular interpretation of the pressure and temperature of a gas and is consistent with gas laws and Avogadro’s hypothesis. This theory is very helpful to correctly explain the specific heat capacities of many gases, kinetic energy and it also explains the transport qualities such as viscosity, thermal conductivity, and diffusion with molecular parameters. As stated in the kinetic-molecular theory, the temperature of a substance or gas particle is related to the average kinetic energy of the particles of that substance. When a substance is heated, some of the absorbed energy is stored within the particles, while some of the energy increases the motion of the particles, called average kinetic energy.

Question

**Problem: Calculation of Molecular Weight**

Calculate the molecular weight of Freon-12, if 122.70 liters of its vapor at 200.00°C and 790.00 mm Hg has a mass of 397.00 g. **Show your work.**

**Solution Approach**

To find the molecular weight of Freon-12, we can use the Ideal Gas Law, which is given by:

\[ PV = nRT \]

Where:
- \( P \) = Pressure in atm
- \( V \) = Volume in liters
- \( n \) = Number of moles
- \( R \) = Ideal gas constant = 0.0821 L·atm/(mol·K)
- \( T \) = Temperature in Kelvin

**Steps:**

1. Convert the given pressure from mm Hg to atm:
\[ P = \frac{790.00 \, \text{mm Hg}}{760.00 \, \text{mm Hg/atm}} \]

2. Convert the given temperature from Celsius to Kelvin:
\[ T = 200.00 + 273.15 \, \text{K} \]

3. Rearrange the Ideal Gas Law to solve for \( n \) (number of moles):
\[ n = \frac{PV}{RT} \]

4. Use the mass of Freon-12 to find the molecular weight:
\[ \text{Molecular Weight} = \frac{\text{Mass}}{n} \]

Plug in the values and calculate accordingly.

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