It is important for nuclear engineers to know the thermal properties of neutrons in a nuclear reactor. Assuming that a gas of neutrons is in thermal equilibrium, find v and v$*$ for neutrons at the following temperatures. $($Enter your answers in m$/$s$.)$

$($a$)$

$580$ K

v$=$ m$/$sv$*=$ m$/$s

$($b$)$

$2,300$ K

v$=$ m$/$sv$*=$ m$/$s

N$\_(0\mathrm{.}100$v$\_($xrms$))=$

$($b$)$

v$\_($x$)=$v$\_($xrms$)$

N$\_($v$\_($xrms$))=$

$($c$)$

v$\_($x$)=10\mathrm{.}0$v$\_($xrms$)$

N$\_(10\mathrm{.}0$v$)=$