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When the room temperature becomes equal to the dew point the relative humidity of the room is (A) \(100 \%\) (B) \(0 \%\) (C) \(70 \%\) (D) \(85 \%\)

Short Answer

Expert verified
When the room temperature becomes equal to the dew point, it means the air is saturated and cannot hold any more moisture. In this situation, the relative humidity is \(100\%\), as the partial pressure of water vapor is equal to the saturation vapor pressure. So, the correct answer is (A) \(100\%\).

Step by step solution

01

Understand Relative Humidity

Relative humidity (RH) is a measure of how full of water vapor the air is relative to the maximum amount of water vapor the air can hold at a given temperature. It is expressed as a percentage and calculated using the formula: \(Relative\ Humidity = \frac{Partial\ Pressure\ of\ Water\ Vapor}{Saturation\ Vapor\ Pressure\ at\ the\ same\ temperature} \times 100\%\)
02

Understand Dew Point

The dew point is the temperature at which the air is saturated, meaning it has reached its maximum capacity to hold moisture. If the air temperature cools further, the excess moisture will condense out as precipitation or dew.
03

Calculate Relative Humidity at Dew Point

When the room temperature becomes equal to the dew point, it means the air is saturated, and the partial pressure of water vapor is equal to the saturation vapor pressure. Putting this information into the relative humidity formula: \(Relative\ Humidity = \frac{Saturation\ Vapor\ Pressure\ at\ the\ same\ temperature}{Saturation\ Vapor\ Pressure\ at\ the\ same\ temperature} \times 100\% = 100\%\)
04

Finding the Answer

Since the relative humidity when the room temperature becomes equal to the dew point is 100%, the correct answer is: (A) \(100\%\)

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Dew Point
The dew point is a fundamental concept in understanding weather and humidity. It is the temperature at which air becomes fully saturated with water vapor. Once air reaches this temperature, it cannot hold any more moisture, leading to the formation of dew.

When the air cools to the dew point, the water vapor starts condensing into tiny droplets, which you see as dew on grass or windows. Dew point varies depending on the amount of moisture in the air; higher dew points mean more moisture.

In essence, the dew point helps us understand how "humid" the air feels. A higher dew point feels clammy and sticky, while a lower dew point feels more comfortable. Knowing the dew point can help predict foggy conditions or potential frost overnight.
Saturation Vapor Pressure
Saturation vapor pressure refers to the pressure exerted by water vapor when a body of water is in equilibrium with its surrounding vapor. This pressure changes with temperature; warmer air can hold more moisture, leading to higher saturation vapor pressures.

This is crucial for understanding humidity and moisture content in the air. As the temperature increases, the air's capacity to contain water vapor does too.

At the dew point, the actual amount of water vapor matches the saturation vapor pressure. Knowing this relationship is key for meteorologists and helps us explain the hygrometer readings in weather forecasts.

To visualize this, think of a sponge absorbing water. The warmer the environment, the more "water" the sponge can hold before it drips.
Water Vapor
Water vapor is the gaseous form of water and a vital part of the Earth's atmosphere. It plays a key role in the weather, climate, and the water cycle.

When water evaporates, it turns into water vapor. This process involves the conversion of liquid water into gas. As the air becomes filled with water vapor, it approaches its saturation point. This is crucial for forming clouds, fog, and even precipitation.

Understanding water vapor is essential for grasping how weather patterns work. When it reaches the dew point, excess water vapor begins to condense, leading to dew or rain.

It's also a potent greenhouse gas, contributing to the natural warming of our planet by trapping heat.
Temperature
Temperature is a measure of heat energy in the environment and plays a significant role in determining weather conditions and human comfort. It affects the capacity of the air to hold water vapor.

When considering relative humidity, temperature is essential. As temperatures rise, so does the potential for air to hold more moisture.

Conversely, a drop in temperature may lead the air to reach its saturation, or dew point, resulting in condensation.

Monitoring temperature allows us to prepare for weather changes. It's why meteorologists keep a close eye on temperature trends: to predict dew points, fog, frost, or heatwaves. Without a clear understanding of temperature, predicting humidity or weather becomes very challenging.

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Most popular questions from this chapter

When liquid medicine of density \(\mathrm{S}\) is to be put in the eye. It is done with the help of a dropper as the bulb on the top of the dropper is pressed a drop forms at the opening of the dropper we wish to estimate the size of the drop. We dirst assume that the drop formed at the opening is spherical because the requires a minimum increase in its surface energy. To determine the size we calculate the net vertical force due to surface tension \(\mathrm{T}\) when the radius of the drop is \(\mathrm{R}\). When this force becomes smaller than the weight of the drop the drop gets detached from the dropper. If \(\mathrm{r}=5 \times 10^{-4} \mathrm{~m}, \mathrm{p}=10^{3} \mathrm{~kg} \mathrm{~m}^{-3}=10 \mathrm{~ms}^{-2} \mathrm{~T}=0.11 \mathrm{~N} \mathrm{~m}^{-1}\) the radius of the drop when it detaches from the dropper is approximately (A) \(1.4 \times 10^{-3} \mathrm{~m}\) (B) \(3.3 \times 10^{-3} \mathrm{~m}\) (C) \(2.0 \times 10^{-3} \mathrm{~m}\) (D) \(4.1 \times 10^{-3} \mathrm{~m}\)

A beaker is completely filled with water at \(4^{\circ} \mathrm{C}\) It will overflow if (A) Heated above \(4^{\circ} \mathrm{C}\) (B) Cooled below \(4^{\circ} \mathrm{C}\) (C) Both heated and cooled above and below \(4^{\circ} \mathrm{C}\) respectively (D) None of these

The temperature at which the vapour pressure of a liquid becomes equals of the external pressure is its. (A) Melting point (B) sublimation point (C) Critical temperature (D) Boiling point

Surface tension of a liquid is found to be influenced by (A) It increases with the increase of temperature. (B) Nature of the liquid in contact. (C) Presence of soap that increase it. (D) Its variation with the concentration of the liquid.

If the length of a cylinder on heating increases by \(2 \%\) the area of its base will increase by. (A) \(0.5 \%\) (B) \(2 \%\) (C) \(1 \%\) (D) \(4 \%\)

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