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Dropdown 1: 3.6
Dropdown 2: greater than
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
55% (03:41) correct
45%
(03:37)
wrong
based on 1125
sessions
History
Date
Time
Result
Not Attempted Yet
The graph shows the maximum absolute humidity—the maximum amount of water vapor that atmospheric air at sea level can hold—in grams of water vapor per cubic meter (g/m^3), for integer-valued temperatures on the Celsius scale from 1°C through 41°C. When the air contains this maximum amount of water vapor, the air is said to be at its saturation point. In addition, at sea level and at a temperature of T °C, the density of air containing no water vapor is \(\frac{10^5}{287(T + 273)}\) \(kg/m^3 \)where 1 kg = 1 kilogram = 1,000 g.
From each drop-down menu, select the option that creates the most accurate statement based on the information provided.
At 37°C, and at sea level, the weight of water vapor in 1 m^3 of air at its saturation point is % of the weight of 1 \(m^3\) of air containing no water vapor.
The average rate of change of maximum absolute humidity from 31°C to 41°C is the average rate of change of maximum absolute humidity from 11°C to 21°C.
ID: 700158
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Dropdown 1: 3.6
Dropdown 2: greater than
25 Oct 2024, 21:06
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The units don’t play much of a role in this question. The units are the same and there’s no conversion needed, you only have percentage conversion.
I solved this on the back of the napkin without a calculator or the napkin. Of course I was casually looking on my phone without timing myself for the time pressure of the question but it is possible to solve it without the calculator. You should make a challenge for yourself to figure out how to solve every DI question without a calculator. I don’t mean to force yourself to do calculations in your head but figure out if there is a shortcut that would allow you to solve the question without doing calculations.
1. If you look at this scary equation you will notice that at the top you have 100,000 in the numerator and denominator is basically going to be 300×300. I don’t think you need to have a more precise calculation there.
This means the weight of air going to be 1.1 kg approx. Since it’s over 1 , and water vapor Weighs 40 g, it’s not going to be 4% it’s going to be approx 10% less than 4% but not quite as little as 3.2% which is 20% less.
I hesitated a little because it was slightly over 40 g but 40 to 41 It’s only a 2 1/2% change whereas from one to 1.1 is a 10% change. So the final answer would likely be slightly higher than 3.6. Maybe it’s 3.7 but still less than 4% and closer to 3.6%
The second question is fairly easy because you just look at the chart and you see the rate of change and it’s clearly greater because it’s exponential or at least it looks to me like that and that was the correct answer 😇
The key to this question was a good understanding between the numerator and denominator so you understand what happens when you divide a number by 1.1 or 0.9. Key for mental math.
I solved this on the back of the napkin without a calculator or the napkin. Of course I was casually looking on my phone without timing myself for the time pressure of the question but it is possible to solve it without the calculator. You should make a challenge for yourself to figure out how to solve every DI question without a calculator. I don’t mean to force yourself to do calculations in your head but figure out if there is a shortcut that would allow you to solve the question without doing calculations.
1. If you look at this scary equation you will notice that at the top you have 100,000 in the numerator and denominator is basically going to be 300×300. I don’t think you need to have a more precise calculation there.
This means the weight of air going to be 1.1 kg approx. Since it’s over 1 , and water vapor Weighs 40 g, it’s not going to be 4% it’s going to be approx 10% less than 4% but not quite as little as 3.2% which is 20% less.
I hesitated a little because it was slightly over 40 g but 40 to 41 It’s only a 2 1/2% change whereas from one to 1.1 is a 10% change. So the final answer would likely be slightly higher than 3.6. Maybe it’s 3.7 but still less than 4% and closer to 3.6%
The second question is fairly easy because you just look at the chart and you see the rate of change and it’s clearly greater because it’s exponential or at least it looks to me like that and that was the correct answer 😇
The key to this question was a good understanding between the numerator and denominator so you understand what happens when you divide a number by 1.1 or 0.9. Key for mental math.
General Discussion
playthegame
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27 Apr 2024, 15:38
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Interesting question it took 5mins to solve this question, I got it right once I understood the first part. Some calculations using the calculator.....the second part is easy if you take the slope and the compare the angle of the two lines which will indicate that rate of change from 31-41 degrees celsius is greater.
It took me longer than average to solve this problem as I felt a little overwhelmed with the amount of information that was thrown at me.
It took me longer than average to solve this problem as I felt a little overwhelmed with the amount of information that was thrown at me.
