If you sell your home for profit, do you pay taxes on the profit im arkansas? I am single and lived in the home for more than two years

No, you should not have to pay tax on your $25,000 gain if you meet all of the following three tests: 

• Ownership: You must have owned the home for at least two years during the five years prior to the date of your sale. 
• Use: You must have used the home you are selling as your principal residence for at least two of the five years prior to the date of sale.
• Timing: You have not excluded the gain on the sale of another home within two years prior to this sale.

No, you do not have to put the $25,000 gain toward the purchase of your next home.

To find out more about selling your home, please see: Selling Your Home