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A cyclinder fitted with a piston holds 8.07g CH4 in 7.05L at -8C. While heating the gas at 1.55atm, 366 of heat was added. What is the change in internal energy during the heating?

A cyclinder fitted with a piston holds 8.07g CH4 in 7.05L at -8C. While heating the gas at 1.55atm, 366 of heat was added. What is the change in internal energy during the heating?

Chemistry
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
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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A cyclinder fitted with a piston holds 8.07g CH4 in 7.05L at -8C. While heating the gas at 1.55atm, 366 of heat was added. What is the change in internal energy during the heating?

The image provides several important constants and conversion factors frequently used in scientific calculations, particularly in the fields of chemistry and physics. Here's a detailed transcription and explanation: 1. **Ideal Gas Constant (R):** - \( R = 0.08206 \, \text{L} \cdot \text{atm} / \text{K} \cdot \text{mol} \) - \( R = 8.314 \, \text{L} \cdot \text{kPa} / \text{K} \cdot \text{mol} \) - \( R = 62.36 \, \text{L} \cdot \text{Torr} / \text{K} \cdot \text{mol} \) - \( R = 8.314 \, \text{J} / \text{K} \cdot \text{mol} \) These values of \( R \) represent the universal gas constant in various units, which are used depending on the context of the problem (e.g., whether pressure is measured in atmospheres, kilopascals, or Torr). 2. **Energy Conversion:** - \( 1 \, \text{L} \cdot \text{atm} = 101.325 \, \text{J} \) This conversion factor allows for the transformation between liter-atmospheres (a unit of energy) and joules, which is particularly useful in thermodynamics. 3. **Specific Heat Capacities:** - \( S_{\text{water}} = 4.184 \, \text{J/g} \cdot °\text{C} \) - \( S_{\text{iron}} = 0.444 \, \text{J/g} \cdot °\text{C} \) - \( S_{\text{methane}} = 2.07 \, \text{J/g} \cdot °\text{C} \) The specific heat capacity values indicate the amount of energy required to raise the temperature of 1 gram of a substance by 1 degree Celsius. Water has a relatively high specific heat capacity, making it an effective coolant. Iron has a much lower specific heat capacity, while methane falls in between. No graphs or diagrams are present in the image.
Transcribed Image Text:The image provides several important constants and conversion factors frequently used in scientific calculations, particularly in the fields of chemistry and physics. Here's a detailed transcription and explanation: 1. **Ideal Gas Constant (R):** - \( R = 0.08206 \, \text{L} \cdot \text{atm} / \text{K} \cdot \text{mol} \) - \( R = 8.314 \, \text{L} \cdot \text{kPa} / \text{K} \cdot \text{mol} \) - \( R = 62.36 \, \text{L} \cdot \text{Torr} / \text{K} \cdot \text{mol} \) - \( R = 8.314 \, \text{J} / \text{K} \cdot \text{mol} \) These values of \( R \) represent the universal gas constant in various units, which are used depending on the context of the problem (e.g., whether pressure is measured in atmospheres, kilopascals, or Torr). 2. **Energy Conversion:** - \( 1 \, \text{L} \cdot \text{atm} = 101.325 \, \text{J} \) This conversion factor allows for the transformation between liter-atmospheres (a unit of energy) and joules, which is particularly useful in thermodynamics. 3. **Specific Heat Capacities:** - \( S_{\text{water}} = 4.184 \, \text{J/g} \cdot °\text{C} \) - \( S_{\text{iron}} = 0.444 \, \text{J/g} \cdot °\text{C} \) - \( S_{\text{methane}} = 2.07 \, \text{J/g} \cdot °\text{C} \) The specific heat capacity values indicate the amount of energy required to raise the temperature of 1 gram of a substance by 1 degree Celsius. Water has a relatively high specific heat capacity, making it an effective coolant. Iron has a much lower specific heat capacity, while methane falls in between. No graphs or diagrams are present in the image.
Expert Solution
Step 1

Given,

Volume of sample is 7.05 L

Initial temperature = -8 oC = 273 - 8 = 265 K

Pressure = 1.55 atm

Heat was added = 366 J

Mass of CH4 = 8.07 g

Formula Used,

q=nCp(T2-T1)

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