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The nuclear g-factor of 1H and 14N are 5.6 and 0.40 respectively. If the magnetic field in an NMR spectrometer is set such that the proton resonates at 700 MHz, the 14N nucleus would resonate at (MHz)? [rounded up to first decimal place]
Correct answer is between '49.5,50.5'. Can you explain this answer?
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The nuclear g-factor of 1H and 14N are 5.6 and 0.40 respectively. If t...
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The nuclear g-factor of 1H and 14N are 5.6 and 0.40 respectively. If t...
Calculation of Resonance Frequency for 14N nucleus:
To calculate the resonance frequency for the 14N nucleus, we can use the formula:
Resonance Frequency = (Nuclear g-factor * Magnetic Field Strength) / (2 * π)
Let's break down the calculation:
Given:
Nuclear g-factor of 14N = 0.40
Resonance frequency for 1H = 700 MHz
Step 1: Calculate the magnetic field strength for 1H:
Using the resonance frequency for 1H and the formula above, we can rearrange the formula to solve for the magnetic field strength:
Magnetic Field Strength for 1H = (Resonance Frequency * 2 * π) / Nuclear g-factor for 1H
Substituting the given values:
Magnetic Field Strength for 1H = (700 MHz * 2 * π) / 5.6
Step 2: Calculate the resonance frequency for 14N:
Now, we can use the calculated magnetic field strength for 1H and the nuclear g-factor for 14N to find the resonance frequency for 14N:
Resonance Frequency for 14N = (Nuclear g-factor for 14N * Magnetic Field Strength for 1H) / (2 * π)
Substituting the values:
Resonance Frequency for 14N = (0.40 * Magnetic Field Strength for 1H) / (2 * π)
Step 3: Substitute the value of Magnetic Field Strength for 1H:
Now, substitute the calculated value of Magnetic Field Strength for 1H into the resonance frequency formula for 14N:
Resonance Frequency for 14N = (0.40 * [(700 MHz * 2 * π) / 5.6]) / (2 * π)
Step 4: Simplify the equation:
Cancel out the 2 * π terms:
Resonance Frequency for 14N = (0.40 * [700 MHz * π] / 5.6)
We can now calculate the value using a calculator:
Resonance Frequency for 14N ≈ 50.0 MHz
Conclusion:
The resonance frequency for the 14N nucleus would be approximately 50.0 MHz. Since the correct answer is between 49.5 and 50.5 MHz, the calculated value falls within this range.
To calculate the resonance frequency for the 14N nucleus, we can use the formula:
Resonance Frequency = (Nuclear g-factor * Magnetic Field Strength) / (2 * π)
Let's break down the calculation:
Given:
Nuclear g-factor of 14N = 0.40
Resonance frequency for 1H = 700 MHz
Step 1: Calculate the magnetic field strength for 1H:
Using the resonance frequency for 1H and the formula above, we can rearrange the formula to solve for the magnetic field strength:
Magnetic Field Strength for 1H = (Resonance Frequency * 2 * π) / Nuclear g-factor for 1H
Substituting the given values:
Magnetic Field Strength for 1H = (700 MHz * 2 * π) / 5.6
Step 2: Calculate the resonance frequency for 14N:
Now, we can use the calculated magnetic field strength for 1H and the nuclear g-factor for 14N to find the resonance frequency for 14N:
Resonance Frequency for 14N = (Nuclear g-factor for 14N * Magnetic Field Strength for 1H) / (2 * π)
Substituting the values:
Resonance Frequency for 14N = (0.40 * Magnetic Field Strength for 1H) / (2 * π)
Step 3: Substitute the value of Magnetic Field Strength for 1H:
Now, substitute the calculated value of Magnetic Field Strength for 1H into the resonance frequency formula for 14N:
Resonance Frequency for 14N = (0.40 * [(700 MHz * 2 * π) / 5.6]) / (2 * π)
Step 4: Simplify the equation:
Cancel out the 2 * π terms:
Resonance Frequency for 14N = (0.40 * [700 MHz * π] / 5.6)
We can now calculate the value using a calculator:
Resonance Frequency for 14N ≈ 50.0 MHz
Conclusion:
The resonance frequency for the 14N nucleus would be approximately 50.0 MHz. Since the correct answer is between 49.5 and 50.5 MHz, the calculated value falls within this range.
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The nuclear g-factor of 1H and 14N are 5.6 and 0.40 respectively. If the magnetic field in an NMR spectrometer is set such that the proton resonates at 700 MHz, the 14N nucleus would resonate at (MHz)? [rounded up to first decimal place]Correct answer is between '49.5,50.5'. Can you explain this answer?
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The nuclear g-factor of 1H and 14N are 5.6 and 0.40 respectively. If the magnetic field in an NMR spectrometer is set such that the proton resonates at 700 MHz, the 14N nucleus would resonate at (MHz)? [rounded up to first decimal place]Correct answer is between '49.5,50.5'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about The nuclear g-factor of 1H and 14N are 5.6 and 0.40 respectively. If the magnetic field in an NMR spectrometer is set such that the proton resonates at 700 MHz, the 14N nucleus would resonate at (MHz)? [rounded up to first decimal place]Correct answer is between '49.5,50.5'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The nuclear g-factor of 1H and 14N are 5.6 and 0.40 respectively. If the magnetic field in an NMR spectrometer is set such that the proton resonates at 700 MHz, the 14N nucleus would resonate at (MHz)? [rounded up to first decimal place]Correct answer is between '49.5,50.5'. Can you explain this answer?.
The nuclear g-factor of 1H and 14N are 5.6 and 0.40 respectively. If the magnetic field in an NMR spectrometer is set such that the proton resonates at 700 MHz, the 14N nucleus would resonate at (MHz)? [rounded up to first decimal place]Correct answer is between '49.5,50.5'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about The nuclear g-factor of 1H and 14N are 5.6 and 0.40 respectively. If the magnetic field in an NMR spectrometer is set such that the proton resonates at 700 MHz, the 14N nucleus would resonate at (MHz)? [rounded up to first decimal place]Correct answer is between '49.5,50.5'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The nuclear g-factor of 1H and 14N are 5.6 and 0.40 respectively. If the magnetic field in an NMR spectrometer is set such that the proton resonates at 700 MHz, the 14N nucleus would resonate at (MHz)? [rounded up to first decimal place]Correct answer is between '49.5,50.5'. Can you explain this answer?.
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