The atmosphere within a room is at 70 °f dry-bulb temperature, 50 percent degree of saturation, and 14.696 psia pressure. the inside surface tempera- ture of the windows is 40 °f. will moisture con- dense out of the air upon the window glass?

Given that the temperature of the window is below the dew point it will condensate.

Explanation:

A psychrometric chart (like the one attached) will give you the information needed. This chart is for 14.696 psia.

On the bottom horizontal axes you have the dry-bulb temperature, in this case 70°F, going up from this point you can reach the 50% relative humidity curve (red point on chart), going horizontally from this point to the 100% relative humidity you get the dew point temperature (the point at which moisture will condensate) (blue point on chart). In this case the dew point is 50°C. Given that the temperature of the window is below the dew point it will condensate.