QQuestionPhysics
QuestionPhysics
Write the value of the ideal gas constant (R) in torr units.
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Recall the standard value of the ideal gas constant (R)
The ideal gas constant is typically given in $$\mathrm{J/(mol \cdot K)}$$.
The standard value is R = 8.314 \frac{\mathrm{J}}{\mathrm{mol \cdot K}}.
Step 3:: Convert units from J/(mol·K) to torr·L/(mol·K)
R = 8.314 \frac{\mathrm{J}}{\mathrm{mol \cdot K}} \cdot \frac{1 \mathrm{atm \cdot L}}{1 \mathrm{J}} \cdot \frac{760 \mathrm{torr}}{1 \mathrm{atm}}
To convert to torr units, we need to use conversion factors: - 1 atm = 760 torr - 1 J = 1 atm·L Conversion calculation:
Step 4:: Perform the unit conversion
R = 8.314 \cdot 1 \cdot 760 = 6318.64 \frac{\mathrm{torr \cdot L}}{\mathrm{mol \cdot K}}
Final Answer
R = 6318.64 \frac{\mathrm{torr \cdot L}}{\mathrm{mol \cdot K}}
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