Recent content by fluppocinonys

Find the asymptotes of the parametric equations The graph looks like this: My attempt: Is my presentation correct? Do I also need to consider as x approaches 0 ? The reasons I ask is because I couldn't find the asymptotes of if I use the above presentation... Please...

Hi, alcohol is able to react with Na (s), but not NaOH (aq) Why is it so? In aqueous NaOH, there are mobile Na+ and OH-, so shouldn't alcohol be able to react with Na+ to form salt too? Many thanks!

All right thank you very much!

so is it solve by this way ?

ok, the bulb placed in hot bath will increase its temperature and pressure, that's why the overall pressure is increased, wait, that means \begin{array}{l} \frac{{{p_1}{v_1}}}{{{T_1}}} = \frac{{{p_2}{v_2}}}{{{T_2}}} \\ \end{array} is not valid in this situation?

The bulb at 0C has higher pressure because amount of gas molecules are higher at there? But how could it be since it has lower temperature, i thought the pressure would be higher in the bulb at hot bath since the gas molecules travel faster

Two glass bulbs of equal volume are joined by a narrow tube and are filled with gas at s.t.p. (standard temperature and pressure where \theta = {0^ \circ }{\rm{C}} and p = 1.01 \times {10^5} Pa). When one bulb is kept in melting ice and the other is placed in hot bath, the new pressure is 1.166...

How many number of moles of molecules are there in 1 mol dm-3 of HCl? Is it correct to find it this way? Number of moles of HCl = 1 mol Number of moles of H2O = 1000/18 = 55.6 mol So, total number of moles = 55.6 + 1 = 56.6 molesIf i change the question of 3 mol dm-3 of HNO3, Then the total...

Since PF is one of the most renowned science forums in the web currently, I thought the standard required would be higher. I hardly use LateX now unless necessary. Even if I have to use mathematical language to better illustrate my question, I normally use MathType® and save it as .GIF, then...

Which proof are you referring to? My attempts on question 2? And I've not seen that technique before, please guide me thanks.

Thanks for the replies, I have a typo error on Question 2, which should be {\left[ {\frac{{n\left( {n + 1} \right)}}{2}} \right]^2} , thanks for correcting me. Here are my attempts, But I don't quite understand your explanation on qn 1...

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a95 = a1 + 94d so, a95 - a1 = a1 + 94d - a1 = 94d

I tried but still unable to solve it. Can you please hint me on how to start the question with? thanks

Homework Statement An arithmetic progression has n terms and a common difference of d. Prove that the difference between the sum of the last k terms and the sum of the first k terms is | (n-k)kd |. Homework Equations \begin{array}{l} {S_n} = \frac{n}{2}\left[ {2{a_1} + \left( {n - 1}...