Dew point temperature, in degrees Celsius (∘C), is defined as the temperature to which the air would have to cool in order to reach saturation. For a temperature of 35∘C, an estimate of the dew point can be obtained by first subtracting 20∘C from the temperature, and then adding 1∘ for every increase of 5 points in the relative humidity, R. If the dew point is 30∘C, which of the following equations best models the situation?Choose 1 answer:(A) 30=15−51R(B) 30=15+5R(C) 30=15−5R(D) 30=15+51R
Q. Dew point temperature, in degrees Celsius (∘C), is defined as the temperature to which the air would have to cool in order to reach saturation. For a temperature of 35∘C, an estimate of the dew point can be obtained by first subtracting 20∘C from the temperature, and then adding 1∘ for every increase of 5 points in the relative humidity, R. If the dew point is 30∘C, which of the following equations best models the situation?Choose 1 answer:(A) 30=15−51R(B) 30=15+5R(C) 30=15−5R(D) 30=15+51R
Understand Given Information: Understand the given information and what is being asked.We are given that the dew point temperature is 30∘C for a temperature of 35∘C. The dew point estimate is calculated by subtracting 20∘C from the temperature and then adding 1∘C for every increase of 5 points in the relative humidity, R.
Translate into Equation: Translate the given information into an equation.Let's denote the dew point temperature as D. According to the problem, we start with the temperature (35∘C), subtract 20∘C, and then add 1∘C for every 5 points increase in R. This can be written as:D=(35−20)+(51)×R
Simplify the Equation: Simplify the equation.Simplifying the constant terms we get:D=15+(51)×R
Compare with Answer Choices: Compare the simplified equation with the answer choices.The simplified equation D=15+51×R matches with option (D).
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