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when 1.50 mol CO2 and 1.50 mol H2 are placed in a 3.00-L container at 395°C, the following reaction occurs: CO2(g) + H2(g) = CO(g) + H2O(g). If Kc = 0.802, what are the concentrations of each substance in the equilibrium mixture?
1. 5.00 g NaOH and 5.00 g Ba(OH)2 were used to prepare 1L solution each. Which solution will be more basic? (MM NaOH=40, Ba(OH)2=171.3)
2. You decide to test the pH of your brand new swimming pool. The instruction manual advises to keep it between 7.2-7.6. Shockingly, you found out that the pH of your pool is 8.3! What kind of chemical should you add?
Show that 𝑦 = 2𝑥 ln 𝑥 is a solution to the differential equation "x^2y''-xy'+y=0"
Let X be a continuous random variable such that 𝑓(𝑥) =1, 𝑓or 𝑓 0<𝑋<1.
Find the following probabilities:
- 𝑃(𝑋>0.5)
- 𝑃(0.5<𝑋<0.8)
A model rocket blasts off from the ground, rising straight upward with a constant acceleration that has a magnitude of 74.3 m/s2 for 1.80 seconds, at which point its fuel abruptly runs out. Air resistance has no effect on its flight. What maximum altitude (above the ground) will the rocket reach?
A manufacturer claims that the average lifetime of his lightbulb is
3 years or 36 months. The standard deviation is 8 months. Fifty bulbs are selected, and the average life expectancy is found to be 32 months. Should the manufacturer statement be rejected at level of significance 0.01?
A group of 8 students in your class having the weight of 50, 52, 53, 54, 56, 57 58, and 60.
You are the manager of a fast-food restaurant. The business problem is to determine
whether the population mean waiting time to place an order has changed in the past month
from its previous population mean value of 4.5 minutes. From past experience, you can
assume that the population is normally distributed, with a population standard deviation of
1.2 minutes. You select a sample of 36 orders during a one-hour period. The sample mean is
5.1 minutes. To test this statistical hypothesis, with a = 0.05
you have then testing hypothesis (null and alternate hvpothesises) is
B. Nitrous Oxide (N_{2}*O) commonly known as laughing gas, is easily oxidized to dinitrogen tetraoxide (N_{2}*O_{4}) . If the equilibrium concentrations of f N 2 O? , O_{2} and f*N_{2}*O_{4} are 0.089M, 0.064M, and 2.5M, respectively, what is the equilibrium constant k_{c} for the reaction?
2N 2 O (g) +3O 2(g) Leftrightarrow2N 2 O 4 8)
A sample of 60 Grade 9 students’ ages was obtained to estimate the mean age of all Grade 9 students. Sample mean of 15.3 years and the population standard deviation is 4. What is the point estimate of the population mean
