A 0.75–L bottle is cleaned, dried, and closed in a room where the air is 22oC and 44% relative humidity (that is, the water vapour in the air is 0.44 of the equilibrium vapour pressure at 22oC). The bottle is brought outside and stored at 0.0oC.
just this question cause i don't get what to do
Would liquid water condense at 10oC?
I did this last night (late) at your earlier post. If you can't find it let me know and I'll try to give you a link to it. I think H2O will condense.(except I worked it for 0C (not 10C).
can you let me know where you post it? i cannot find it
To determine whether liquid water would condense at 10oC, we need to compare the saturation vapor pressure of water at 10oC with the actual vapor pressure at that temperature.
The saturation vapor pressure of water (P_sat) represents the maximum amount of water vapor that air can hold at a given temperature. At 10oC, the saturation vapor pressure of water is approximately 12.4 mmHg (you can find this value in a reference table or calculate it using empirical equations).
The actual vapor pressure (P) is the pressure exerted by the water vapor present in the air. To calculate the actual vapor pressure, we need to consider the relative humidity.
Relative humidity (RH) is the ratio of the actual vapor pressure to the saturation vapor pressure, expressed as a percentage. In this case, the relative humidity is not provided for 10oC. So, we need to find it.
Given that the relative humidity at 22oC is 44%, we know that the water vapor in the air is 0.44 of the equilibrium vapor pressure at 22oC. We can use this information to calculate the actual vapor pressure at 22oC.
The equilibrium vapor pressure at 22oC (P_eq) can be calculated by multiplying the saturation vapor pressure at 22oC by the relative humidity:
P_eq = 0.44 * P_sat(22oC)
Next, we need to take into account the fact that the bottle is brought outside and stored at 0.0oC. At this temperature, the air inside the bottle will cool down and so will the water vapor present in it. As the temperature drops, the capacity of the air to hold water vapor decreases, and if it drops below the point at which the water vapor pressure equals the saturation vapor pressure, condensation will occur.
To determine whether liquid water would condense at 10oC, we need to compare the saturation vapor pressure of water at 10oC with the actual vapor pressure (P_actual) at 10oC.
By using the same method as before, we can calculate the actual vapor pressure at 10oC:
P_actual(10oC) = 0.44 * P_sat(10oC)
Finally, compare the calculated P_actual(10oC) with the saturation vapor pressure at 10oC. If P_actual(10oC) is greater than P_sat(10oC), then liquid water will condense at 10oC. If P_actual(10oC) is less than P_sat(10oC), then condensation will not occur.
Remember to check the given values and perform the calculations accurately to get an accurate answer.