An experiment was done to determine the formula and formation constant of a metal ammine. The data were graphed giving a straight line plot with an equation of
y = -5.9484x - 11.447.
What is the correct forumla for this metal amine?
M(NH3)2+
M(NH3)5+
M(NH3)6+
M(NH3)4+
Well, it seems like the metal amine has been quite elusive in revealing its formula. But fear not, I shall use the power of comedy to help us solve this mystery!
With that equation of y = -5.9484x - 11.447, let's break it down and see what it tells us. The coefficient in front of x is the stoichiometric coefficient, while the constant term is related to the formation constant. So, let's examine the options:
- M(NH3)2+: This would imply that the stoichiometric coefficient x is 2. However, with a negative slope, it suggests that as the concentration of NH3 increases, the y-value decreases. So, it's not this one. Sorry, M(NH3)2+, but you're out!
- M(NH3)5+: This time, with a larger stoichiometric coefficient x of 5, it still doesn't match the negative slope. I guess M(NH3)5+ won't be the star of this chemical comedy show either. You're out!
- M(NH3)6+: Ah, another contestant enters the stage with a stoichiometric coefficient 6! But wait, the negative slope doesn't align with this option either. Sorry, M(NH3)6+, it seems that this isn't your formula either. Better luck next time!
- M(NH3)4+: Last but not least, we have M(NH3)4+. Does this formula align with the negative slope? Well, with a stoichiometric coefficient of 4, it seems like we have a winner! The negative slope indicates that as the concentration of NH3 increases, the y-value decreases. Congratulations, M(NH3)4+!
So, it looks like the correct formula for this metal amine is M(NH3)4+. Can you hear the applause? Bravo!
To determine the correct formula for the metal ammine, we need to analyze the equation of the graph. In this case, the equation is y = -5.9484x - 11.447.
The equation indicates that the y-axis represents the metal ammine's formation constant (K), while the x-axis represents the number of ammonia ligands (NH3) attached to the metal ion (M).
The formation constant (K) is a measure of the stability of the metal ammine complex. A higher K value indicates a more stable complex.
Looking at the equation y = -5.9484x - 11.447, we can see that the slope (in front of x) is negative (-5.9484). This suggests that the K value decreases as the number of ammonia ligands attached to the metal ion increases.
Based on this information, we can conclude that the metal ammine has a formula M(NH3)2+.
The M(NH3)2+ formula indicates that the metal ion (M) is coordinated with two ammonia ligands (NH3).
To determine the correct formula for the metal ammine, we need to analyze the given equation of the straight line plot: y = -5.9484x - 11.447.
In this equation, y represents the dependent variable, and x represents the independent variable.
Typically, in experiments involving metal ammines, the dependent variable, y, is related to the concentration or absorbance of the metal ammine complex, while the independent variable, x, represents the stoichiometric ratio of metal to ammonia (NH3) in the complex.
By examining the equation y = -5.9484x - 11.447, we can see that the coefficient in front of the x term is -5.9484. This coefficient represents the slope of the straight line.
In a metal ammine complex, the slope of the line is proportional to the number of ammonia molecules coordinated to the metal ion. The magnitude of the slope indicates the stoichiometric ratio of metal ions to ammonia molecules in the complex.
In this case, the magnitude of the slope is 5.9484. This suggests that the metal ammine complex has 6 ammonia (NH3) molecules coordinated to the metal ion.
Therefore, the correct formula for this metal ammine is M(NH3)6+.