the difference there is that in a clear night night the temperature is cool y in a cloudy night it is somehow warm
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On a clear night, temperatures tend to drop more rapidly as heat escapes into the atmosphere. Cloudy nights act as a blanket, trapping some heat and causing temperatures to not drop as much as on clear nights. This can result in warmer temperatures on cloudy nights compared to clear nights.
During a clear night, heat from the surface of the Earth radiates out into space since there are no clouds to trap it. Clouds act as a blanket, trapping heat near the surface and preventing it from escaping, which leads to warmer temperatures on cloudy nights compared to clear nights.
because of the greenhouse effect
Both water vapor and clouds are great greenhouse gasses, they block the loss of heat into outer space (at night).
When sky is clear the heat from earth will radiate to space and cool the night air faster. If cloudy the heat radiated is reflected back from clouds and it does not get so cool
The sun provides warmth during the day, while the temperature drops during the night when the sun is gone.