Calcium hydroxide solution absorbs carbon dioxide gas (to form a precipitate of calcium carbonate). What volume
of a 1.35mol/L solution is needed to dissolve 25mL of carbon dioxide at 25°C and 100 kPa?
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13.0mL of ethanol was dissolved in water and the solution
made to 100mL. The density of ethanol is 0.79 g/mL
Calculate the concentration of the solution in:
a) g/100mL of solution
b) g/L
c) %(w/v)
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The net force is shown along with all but one of the contributing forces. Determine the magnitude and direction of the missing force in a) and b)
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1) Prove, for all positive integers n , the identity
\frac{1}{n+1}+ \frac{1}{n+2} +... +\frac{1}{2n} =1- \frac{1}{2}+ \frac{1}{3}-...+ \frac{1}{2n-1} - \frac{1}{2n}.
2) The sequence x_{n} is given by x_{1} = 1 and x_{n+1} = \frac{4+ x_{n} }{1+ x_{n} } for n \geq 1.
a) Prove...
The roots of the equation t²-2t+2=0 are a and b. Prove that [(x+a)ⁿ-(x+b)ⁿ]/(a-b) = (sin nθ)/(sinⁿ θ), where cot θ = x +1
Any help would be appreciated!