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Solving for Temperature

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Question: Both the pressure and volume of a given sample of an ideal gas double. This means that its temperature in kelvins must.

a. Quadruple
b. Reduce to one fourth its original value
c. Reduce to one half its original value
d. Remain unchanged.
e. Double

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Solution Summary

The following solution provides not only the correct answer to this multiple choice problem, but an explanation as to why that option is correct. This is all completed in about 50 words.

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The answer is a) quadruple. We can analyze as follows.

Assume that the original ...

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  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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