Question

Derive Jeans criteria for the stability of a gas cloud. A collapsing cloud is made only
of neutral hydrogen (H1). If the temperature of the cloud is 50 K and its number
density is 10^5 m−3, calculate its Jeans mass.

Answer 1

Answer on Question #69701, Physics / Astronomy | Astrophysics

Derive Jeans criteria for the stability of a gas cloud. A collapsing cloud is made only of neutral hydrogen (H1). If the temperature of the cloud is 50 K and its number density is 10^5 m-3, calculate its Jeans mass.

Solution:

The corresponding mass required for collapse is calculated from the equations for the Jeans radius:

- - - - (1), where

- - ,

- - kg,

$R_{J}$ is the critical radius ("Jean's radius"), $M_J$ is the Jeans mass, $T$ is the temperature of the cloud

Of (1) $\Rightarrow$ $M_J = -\frac{b}{a} R_J$ (2)

Critical radius $R_{J}$ : $\alpha$ — (3), where $\alpha$ ——, $n_{H}$ is the densitie of the cloud

Of (3) $\Rightarrow$ $R_{J} = 4.7 \times 10^{18} \, \text{m}$ (4)

(4) in (2): $M_J = 7.3 \times 10^{34} \, \text{kg}$

Answer:

$7.3 \times 10^{34} \mathrm{~kg}$

Answer provided by AssignmentExpert.com