Step 1: Link melting point to bonding.
The melting point of a transition metal depends on how strong its metallic bonding is, which depends on the number of unpaired electrons taking part in bonding.
Step 2: Write the configurations.
Chromium is \([Ar]3d^5 4s^1\), giving six unpaired electrons available for bonding. Manganese is \([Ar]3d^5 4s^2\), where the \(4s\) electrons are paired, so effectively five unpaired electrons are available.
Step 3: Compare the bonding electrons.
Chromium has more unpaired electrons free for metallic bonding than manganese.
Step 4: Relate to bond strength.
More unpaired electrons make stronger metallic bonds, which need more energy to break.
Step 5: Conclude.
So chromium has stronger metallic bonding and a higher melting point than manganese.
Answer: Chromium \((3d^5 4s^1)\) has more unpaired electrons taking part in metallic bonding than manganese \((3d^5 4s^2)\), so its metallic bonds are stronger and its melting point is higher.