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if In = 0∫∞ e-xsinn(x)dx , prove that (1+n2)In = n(n-1) In-2 for n >= 2
What is the pH of a 1.5x10^-3 M solution of NaOH, a strong base? Show your work.
1.)calculate the volume of 0.400M H3PO4 needed to react with 200.0mL of 0.200 M NaOH
____H3PO4 (aq) +___NaOH(aq) -____Na3PO4(aq) +___H2O(l)
1.)calculate the volume, in mL of 1.72M HCl solution that will react with 2.67 mol of CaCO3? (Ans. 3.10x103mL
___HCl+___CaCO3____CaCl2+___H2O+__CO2
2.)If 0.650% solution of NaCO3 will be used to precipitate Ca+2 from solution, determine the amount of solution, in grams, needed to precipitate 5.00x102mL of 0.01120M Ca+2?(Atomic mass :Na=22.99g/mol:C=12.01g/mol:O=16.00g/mol:Ca=40.08g/mol:Ans.91.3g)
____Na2CO3(aq)+___Ca+2(aq)____CaCO3(s)+___Na+(aq)
3.)calculate the molality of phosphoric acid, H3PO4, in a solution of 29.0g H3PO4 in 250.0g H2O. (atomic mass :H=1.008g/mol:P=30.97g/mol:O=16.00g/mol:Ans.m=1.18mol solute /kg solvent)
4.)Refer to the data given in problem #3, calculate the mole fraction of H3PO4 and H20. (Ans. X H3PO4 =0.979:XH20=0.0209
5.)An aqueous solution has 0.0400g of NaCl (salute) in 2.00kg H2O(solvent). What is the concentration of the solution in parts per million
6.)calculate the volume, in mL, of 1.72M HCl solution that will react with 2.67 mol of CaCO3? (Ans. 3.10x103mL)
__HCl+__CaCl2+__H2O+__CO2
7.)If 0.650% solution of Na2CO3 will be used to precipitate Ca+2 from solution, determine the amount of solution, in grams, needed to precipitate 5.00x102mL of 0.01120M Ca+? (Atomic mass :Na 22.99g/mol:C=12.01g/mol:O=16.00g/mol:Ca=40.08g/mol:Ans.91.3g
___Na2CO3(aq)+__Ca+2(aq)___CaCO3(s)+___Na+(aq)
if f(x) = sin-1x , show that ( 1-x2) f'' (x) -x f'(x) = 0 . Hence prove that , f(n+2)(0) = n2 fn (0)
A storage tank contains 2 moles of Ar, 3 moles of O2, and 5 moles
of N2 at a total pressure of 1000 torr. Calculate partial pressure of
each gas
A school teacher suspects the claim that the mean number of students that use library materials in a certain school is at most 450. To check the claim, the professor checks a random sample of 100 library records and obtain that the mean number of students using library materials is 458 with a standard deviation of 9. What would be the teacher's conclusion using 0.05 level of significance?
a. State the null and alternative hypothesis in symbols.
b. Choose the test statistic applied where 𝛼 = 0.05
c. Determine the critical points
d. Computation of the test statistic
e. Decision
f. Conclusion
Calculate the molality of a 0.410 molar aqueous solution whose density is 1.15 g/mL.
A storage tank contains 2 moles of Ar, 3 moles of O2, and 5 moles
of N2 at a total pressure of 1000 torr. Calculate partial pressure of
each gas.
#340153 on Dec 2023