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A metal oxide has the formula M$_{0.98}$O. The metal M exists as M$^{2+}$ and M$^{3+}$ ions. What fraction of the metal exists as M$^{3+}$?
Let $x$ = fraction of M as M$^{3+}$, $(0.98 - x)$ = fraction as M$^{2+}$.
Charge balance (O$^{2-}$ contributes $-2$): $2(0.98-x) + 3x = 2$
$1.96 - 2x + 3x = 2$
$x = 0.04$
Fraction of M as M$^{3+}$ $= \dfrac{0.04}{0.98} \times 100 \approx \mathbf{4.08\%}$
What surrounds the muscle fibre (muscle cell) in skeletal muscle?
The cytoplasm of a muscle cell is called sarcoplasm. It contains myofibrils, organelles, and glycogen stores. Lacunae are in bone/cartilage.
\\text{CBR} = ?
The Crude Birth Rate (CBR) is calculated as:
\\text{CBR} = \\frac{\\text{Number of live births in a year}}{\\text{Mid-year total population}} \\times 1000
It is expressed per 1,000 population. Pakistan's CBR is approximately 26–28 per 1,000 population.
Comparison with other fertility measures:
- General Fertility Rate (GFR) uses women aged 15–49 as denominator
- Total Fertility Rate (TFR) is the average number of children a woman would have in her lifetime
- Option 3 is the formula for Crude Death Rate (CDR)
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