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If we consider that 1//6, in place of 1/...

If we consider that `1//6`, in place of `1//12`, mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of a substance will.

A

Decrease twice

B

Increase two fold

C

Remain unchanged

D

Be a function of the molecular mass of the substance

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The correct Answer is:
To solve the question, we need to understand the relationship between the mass of a carbon atom, the relative atomic mass unit (amu), and the concept of moles in chemistry. ### Step-by-Step Solution: 1. **Understanding Atomic Mass Unit (amu)**: - The atomic mass unit (amu) is defined based on the mass of carbon-12. Specifically, 1 amu is defined as 1/12 of the mass of a carbon-12 atom. 2. **Changing the Reference**: - The question states that we consider 1/6 instead of 1/12. This implies that we are redefining the atomic mass unit based on a different reference point. 3. **Calculating the New amu**: - If we take the mass of a carbon atom as 1/6 of its original mass (which is 1/12 of C-12), we can calculate the new relative atomic mass unit. - Therefore, if the mass of carbon is now considered as 1/6 of the mass of C-12, we can express this as: \[ 1 \text{ amu (new)} = \frac{1}{6} \text{ mass of C-12} \] 4. **Mass of One Mole of Substance**: - The mass of one mole of a substance in grams is numerically equal to its molar mass in amu. - Since we have redefined the amu, we need to find out how this affects the mass of one mole of a substance. - If 1 amu (new) = 1/6 of the mass of C-12, then: \[ \text{Mass of one mole of substance} = 6 \text{ grams} \] - This is because 1 mole contains Avogadro's number of atoms, and if we redefine the amu, the mass of one mole will also be scaled accordingly. 5. **Conclusion**: - Therefore, if we consider 1/6 in place of 1/12 for the mass of carbon atom, the mass of one mole of a substance will be 6 grams. ### Final Answer: The mass of one mole of a substance will be 6 grams.
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