Question

What is approximate of nuclear matter from which all nuclei are made? Also compare with that water

Answer 1

Answer on Question #64423, Physics / Atomic and Nuclear Physics

What is approximate density of nuclear matter from which all nuclei are made? Also compare with that water.

Answer:

The volume of the nucleus approximated as a uniform sphere of radius $R$.

$$V = \frac{4}{3} \pi R^2 = \frac{4}{3} \pi (R^3_0 A)$$

The density $\rho_0$ of nuclear matter

$$\rho_0 = A / V = A / \frac{4}{3} \pi (R^3_0 A) = \frac{1}{4} \pi (1.2 \, \text{fm})^3 = 0.14 \, \text{nucleons}/\text{fm}^3$$

The mass of a nucleon is $1.7 \times 10^{-27} \, \text{kg}$

The mass density $\rho_m$ of nucleon matter is then

$$\rho_m = (0.14 \, \text{nucleons}/\text{fm}^3) (1.7 \times 10^{-27} \, \text{kg}) (1 \, \text{fm} / 10^{-15} \, \text{m})^3 = 2.4 \times 10^{17} \, \text{kg}/\text{m}^3$$

$2.4 \times 10^{14}$ times the density of water.

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