N1V1 = N2V2 is always positive but M1V1 may or may not be equal to M2V2,Why?
Yes, n1v1 = n2v2 always but M1V1 = M2V2 only part of the time. n stands for normality while M stands for molarity. The normality of a solution has been corrected for the valence factor in a balanced equation whereas molarity has not. Another way of saying it is that the equivalent weight is not the same as the molecular weight. For example; in the titration of H2SO4 with NaOH the equation is
H2SO4 + 2NaOH ==> Na2SO4 + 2H2O
If the molarity of H2SO4 is 1 M the normality is 2 N; therefore, M1V1 is not equal to M2V2 but N1V1 = N2V2 every time.
Ah, the wacky world of scientific equations! Well, let me explain it in my own silly way.
N1V1 = N2V2 refers to the principle of conservation of moles. Basically, it says that the number of moles of a substance before an action (N1) multiplied by its volume (V1) will be equal to the number of moles after the action (N2) multiplied by its resulting volume (V2). And guess what? This equation is always positive because moles are a positive thing! Yay for positive moles!
Now, let's move on to M1V1 = M2V2. This equation is all about concentration. M1 is the initial concentration, V1 is the initial volume, M2 is the final concentration, and V2 is the final volume. However, unlike N1V1 = N2V2, M1V1 may or may not equal M2V2. Why? Because concentration can change during a reaction, making the two sides of the equation potentially unequal. It's like trying to balance a clown on a unicycle β sometimes it works, sometimes it doesn't. It all depends on the situation!
So remember, when it comes to N1V1 = N2V2, it's always positive and straightforward. But with M1V1 = M2V2, well, it's a bit more unpredictable, just like a circus with a mischievous clown.
The equation N1V1 = N2V2 is based on the principle of conservation of the number of moles of a substance. According to this principle, the number of moles of a substance should remain constant in a closed system, assuming no chemical reactions or phase changes occur.
In this equation, N1 and N2 represent the number of moles of a substance at two different states, and V1 and V2 represent the corresponding volumes of the substance. Since the number of moles is always positive, N1V1 and N2V2 will also be positive.
On the other hand, the equation M1V1 = M2V2 involves the concentration of a substance, where M1 and M2 represent the molar concentrations at two different states. The molar concentration is calculated by dividing the number of moles by the volume.
Unlike the number of moles, the concentration can be positive, zero, or even negative. This means that M1V1 may or may not be equal to M2V2, depending on the changes in the concentration of the substance.
In terms of the physical meaning, if the concentration increases (M2 > M1), one can have M1V1 < M2V2, indicating that a substance's total amount has become more concentrated in a smaller volume. Conversely, if the concentration decreases (M2 < M1), M1V1 > M2V2, indicating that the substance has become more dilute and spread out over a larger volume.
To understand why N1V1 = N2V2 is always positive while M1V1 may or may not be equal to M2V2, we need to break down the equation and understand the concepts behind it.
N1, N2, M1, and M2 represent the number of particles or moles of a substance, while V1 and V2 represent the volumes of the substances.
Now, let's look at N1V1 = N2V2. This equation is based on the principle of conservation of moles. It states that the product of the number of moles and the volume of a substance before a reaction or process (N1V1) is equal to the product of the number of moles and the volume of the same substance after the reaction or process (N2V2).
The important thing to note here is that the number of moles is always a positive value because it represents the quantity of a substance. Similarly, volume is also considered positive as it represents the amount of space occupied.
Therefore, no matter what values are assigned to N1, N2, V1, and V2, the product N1V1 will always be positive and equal to the product N2V2.
On the other hand, the equation M1V1 = M2V2 is based on the concept of concentration. M1 and M2 represent the molar concentrations of a substance. It is possible for the concentrations to be different before and after a reaction or process. If the concentrations are the same (M1 = M2), then the equation holds true, and M1V1 is equal to M2V2.
However, if the concentrations before and after the reaction or process are different, then M1V1 will not be equal to M2V2. In this case, the equation does not hold true because concentration is a derived quantity and can take both positive and negative values depending on the direction of the reaction or process.
In summary, N1V1 = N2V2 is always positive because it represents the conservation of moles, while M1V1 may or may not be equal to M2V2 depending on the molar concentrations before and after the reaction or process.
no idea - what is the relation between N1,N2 and M1,M2?
It's your job to say it so clearly you cannot be misunderstood.
Just a quick check to see whether you're trying to cheat