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The product of an extensive and intensive variable is?
- a)Extensive
- b)Intensive
- c)Depends on temperature conditions
- d)Depends on pressure conditions
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
The product of an extensive and intensive variable is?a)Extensiveb)Int...
Product of an extensive and intensive variable is extensive.
Explanation:
- Extensive variables are those that depend on the quantity of the substance or system being considered, such as mass or volume. These variables scale with the size or amount of the system.
- Intensive variables, on the other hand, are independent of the quantity of the substance or system and remain constant regardless of the size or amount. Examples of intensive variables include temperature and pressure.
- When an extensive variable is multiplied by an intensive variable, the resulting quantity is also extensive.
- This can be understood by considering an example of a gas in a container. The volume of the gas (an extensive variable) depends on the amount of gas present, while the temperature (an intensive variable) remains constant. When we multiply the volume of the gas by the temperature, the resulting quantity, which is the product of an extensive and intensive variable, is also extensive.
- Mathematically, if V is the volume (extensive variable) and T is the temperature (intensive variable), the product of V and T can be represented as VT. Since V is extensive and T is intensive, the product VT is also extensive.
- Similarly, if we consider the mass (extensive variable) and density (intensive variable) of a substance, the product of mass and density will also be extensive.
- Thus, the product of an extensive and intensive variable is always extensive.
- Therefore, the correct answer is option 'A': Extensive.
Explanation:
- Extensive variables are those that depend on the quantity of the substance or system being considered, such as mass or volume. These variables scale with the size or amount of the system.
- Intensive variables, on the other hand, are independent of the quantity of the substance or system and remain constant regardless of the size or amount. Examples of intensive variables include temperature and pressure.
- When an extensive variable is multiplied by an intensive variable, the resulting quantity is also extensive.
- This can be understood by considering an example of a gas in a container. The volume of the gas (an extensive variable) depends on the amount of gas present, while the temperature (an intensive variable) remains constant. When we multiply the volume of the gas by the temperature, the resulting quantity, which is the product of an extensive and intensive variable, is also extensive.
- Mathematically, if V is the volume (extensive variable) and T is the temperature (intensive variable), the product of V and T can be represented as VT. Since V is extensive and T is intensive, the product VT is also extensive.
- Similarly, if we consider the mass (extensive variable) and density (intensive variable) of a substance, the product of mass and density will also be extensive.
- Thus, the product of an extensive and intensive variable is always extensive.
- Therefore, the correct answer is option 'A': Extensive.
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Community Answer
The product of an extensive and intensive variable is?a)Extensiveb)Int...
The product contains one term which is extensive, or which depends on mass, so we can say that their product also depends on mass and is therefore extensive.
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The product of an extensive and intensive variable is?a)Extensiveb)Intensivec)Depends on temperature conditionsd)Depends on pressure conditionsCorrect answer is option 'A'. Can you explain this answer?
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