Molecular speeds: The root$-$mean$-$square speed $($thermal speed$)$ for a certain gas at $100$C is $0\mathrm{.}500$ km$/$s$.$ If the temperature of the gas is now increased to $200$C$,$ the root$-$mean$-$square $($thermal$)$ speed will be closest to

Group of answer choices

$563$ m$/$s$.$

$804$ m$/$s$.$

$634$ m$/$s$.$

$707$ m$/$s$.$

$1000$ m$/$s$.$