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The dimensional formula of RT is same as that of:
- a)energy
- b)force
- c)pressure
- d)specific heat
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The dimensional formula ofRTis same as that of:a)energyb)forcec)pressu...
The vander Waals gas equation is 
where P is the pressure, V is molar volume and T is the temperature of the given sample of gas. R is called mola gas constant, a and b are called vander Waals constants.
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The dimensional formula ofRTis same as that of:a)energyb)forcec)pressu...
Dimensional Analysis of RT and Energy:
Dimensional analysis involves examining the dimensions of physical quantities to understand their relationships. In this case, we are comparing the dimensional formula of RT with that of energy.
Dimensional Formula of RT:
- The dimensional formula of RT (gas constant multiplied by temperature) is [ML²T⁻²K⁻¹].
Dimensional Formula of Energy:
- The dimensional formula of energy is [ML²T⁻²].
Comparing the Dimensional Formulas:
- By comparing the dimensional formulas of RT and energy, we can see that they have the same dimensions of [ML²T⁻²].
- This means that RT and energy are related in terms of their dimensions, indicating that they are equivalent in terms of their fundamental physical properties.
Conclusion:
- The dimensional formula of RT is the same as that of energy, which highlights their similarity in terms of fundamental physical properties. This relationship can be useful in various scientific and engineering calculations where energy and gas constants are involved.
Dimensional analysis involves examining the dimensions of physical quantities to understand their relationships. In this case, we are comparing the dimensional formula of RT with that of energy.
Dimensional Formula of RT:
- The dimensional formula of RT (gas constant multiplied by temperature) is [ML²T⁻²K⁻¹].
Dimensional Formula of Energy:
- The dimensional formula of energy is [ML²T⁻²].
Comparing the Dimensional Formulas:
- By comparing the dimensional formulas of RT and energy, we can see that they have the same dimensions of [ML²T⁻²].
- This means that RT and energy are related in terms of their dimensions, indicating that they are equivalent in terms of their fundamental physical properties.
Conclusion:
- The dimensional formula of RT is the same as that of energy, which highlights their similarity in terms of fundamental physical properties. This relationship can be useful in various scientific and engineering calculations where energy and gas constants are involved.
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The dimensional formula ofRTis same as that of:a)energyb)forcec)pressured)specific heatCorrect answer is option 'A'. Can you explain this answer?
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The dimensional formula ofRTis same as that of:a)energyb)forcec)pressured)specific heatCorrect answer is option 'A'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The dimensional formula ofRTis same as that of:a)energyb)forcec)pressured)specific heatCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The dimensional formula ofRTis same as that of:a)energyb)forcec)pressured)specific heatCorrect answer is option 'A'. Can you explain this answer?.
The dimensional formula ofRTis same as that of:a)energyb)forcec)pressured)specific heatCorrect answer is option 'A'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The dimensional formula ofRTis same as that of:a)energyb)forcec)pressured)specific heatCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The dimensional formula ofRTis same as that of:a)energyb)forcec)pressured)specific heatCorrect answer is option 'A'. Can you explain this answer?.
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