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Calcium carbonate is a dietary enhancement utilized when how much calcium taken in the eating routine isn't sufficient. Calcium is required by the body for sound bones, muscles, sensory system, and heart. Calcium carbonate additionally is utilized as an antacid to ease indigestion, acid heartburn, and irritated stomach.

The formula of calcium carbonate is$CaC{O}_3$.

Molar mass is calculated as,

Ca = $40.078\mathrm{g}$

C =$12.01g$

O = $16g$

Molar mass of$CaC{O}_3$is,

localid="1654283603533" $$\begin{gathered} =(1×12.01\mathrm{g}\mathrm{C})+(1×40.078\mathrm{g}\mathrm{Ca})+(3×16\mathrm{g}\mathrm{O}) \\ =100.088g \end{gathered}$$

The moles of calcium carbonate are in one roll of Tums that contains$12$tablets is,

The amount of calcium carbonate in $12$tablets is,

localid="1654283612826" $12×0.5g=6g$

Number of moles = localid="1654283620041" $\frac{Amountingrams}{molarmass}=\frac{6\mathrm{g}}{100.088\mathrm{g}/\mathrm{mole}}=0.06moles$

Given,

Calcium carbonate in two tablets is$2×0.5g=1g$

$\text{Number of mole}=\frac{1\mathrm{g}}{100.088\mathrm{g}/\mathrm{mole}}=0.01moles$

The amount of grams of calcium obtained is,

$0.010\text{mole}\mathrm{Ca}×\frac{40.078\mathrm{g}\mathrm{Ca}}{1.00\text{mole Ca}}=0.4\mathrm{g}$

The daily recommended quantity is$1500mg$

Tums tablets that are needed each day to supply the needed calcium in older women are,

$1500\mathrm{mg}\mathrm{CaCO}3×\frac{1\mathrm{tablet}}{500\mathrm{mg}\mathrm{CaCO}}=3$

Hence $3$tablets are required.