Relative humidity at 20 degrees is 58%. Will dew fall out at night if the temperature drops to 10 degrees?

Relative humidity at 20 degrees is 58%. Will dew fall out at night if the temperature drops to 10 degrees? The saturated steam pressure at 20 degrees is 2.33 kPa and at a temperature of 10 degrees – 1.23

Since the vapor pressure at 20 C is 56%, and the saturated vapor pressure is 2.33 KPa, it will be equal to:

2.33 * 56/100 = 1.3 KPa.

Obviously, 1.3> 1.23, that is, the amount of liquid exceeds the maximum allowable at a temperature of 10 C.

Conclusion: dew will fall out.