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A protein 'A' contains $$0.30\%$$ of glycine (molecular weight $$75$$). The minimum molar mass of the protein 'A' is ______ $$\times 10^3$$ g mol$$^{-1}$$ [nearest integer]
Correct Answer: 25
We need to find the minimum molar mass of protein A that contains 0.30% glycine.
For the minimum molar mass, we assume the protein contains exactly one molecule of glycine per molecule of protein.
If the molar mass of the protein is $$M$$, then:
$$\text{Percentage of glycine} = \frac{\text{Molecular weight of glycine}}{M} \times 100$$
$$0.30 = \frac{75}{M} \times 100$$
$$M = \frac{75 \times 100}{0.30}$$
$$M = \frac{7500}{0.30}$$
$$M = 25000 \text{ g mol}^{-1}$$
$$M = 25 \times 10^3 \text{ g mol}^{-1}$$
The minimum molar mass of protein A is $$\mathbf{25} \times 10^3$$ g mol$$^{-1}$$.
The correct answer is 25.
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