How much heat in kJ is released when nitrogen and hydrogen react as below to form 100.g ammonia heat equals-92.2kj
1 answer:
100g of ammonia releases 271.18 kJ of heat.
<u>Explanation:</u>
Given:
N₂ reacts with H₂
The reaction is:
2N₂ + 3H₂ → 2NH₃ + 92.2 kJ
According to the balanced reaction:
2 X 17g of ammonia releases 92.2 kJ of heat
34g of ammonia releases 92.2 kJ of heat
100g of ammonia will release = kJ of heat
= 271.18 kJ
Therefore, 100g of ammonia releases 271.18 kJ of heat.
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Using the <em>normal distribution and the central limit theorem</em>, it is found that the power of the test is of 0.9992 = 99.92%.
<h3>Normal Probability Distribution</h3>In a normal distribution with mean and standard deviation
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
In this problem:
- The mean is
.
- The standard deviation is
.
- A sample of 30 is taken, hence
.
The power of the test is given by the probability of a sample mean above 8, which is <u>1 subtracted by the p-value of Z when X = 8</u>, so:
By the Central Limit Theorem:
has a p-value of 0.0008.
1 - 0.0008 = 0.9992.
The power of the test is of 0.9992 = 99.92%.
To learn more about the <em>normal distribution and the central limit theorem</em>, you can check brainly.com/question/24663213