Final answer:
The colour of red litmus paper in a sodium hydroxide solution would turn blue, indicating the basic nature of the solution.
Step-by-step explanation:
When sodium hydroxide (NaOH), which is a base, is dissolved in water, it will turn red litmus paper blue. This is because litmus paper is a pH indicator that changes color in response to the acidity or alkalinity of a solution it is placed into. When in an acidic environment, blue litmus paper will turn red, while in a basic or alkaline environment, red litmus paper will turn blue. Sodium hydroxide, being a strong base, will result in a blue color change on red litmus paper, which indicates that the solution is alkaline.