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3 years ago

What is the x-coordinate of the function below when the y-coordinate is 0?(0,5) (2,-5)

Chemistry

1 answer:

maria [59]3 years ago

4 0

The equation of the function is assumed to be a straight line is of the form,

$y= mx+c$ , where $m,c$

are the gradient and the y intercept respectively.

The gradient is computed using the formula for the gradient, i.e

$m=\frac{y_2-y_1}{x_2-x_1} = \frac{-5-5}{2-0} = -5$ .

The equation of the line is,

$y= -5x+c\\=>5=-5(0)+c\\=> c= 5$

The equation of the function is ,

$y = -5x+5.$ .

The value of the x-coordinate when the y coordinate is 0 is found as shown below.

$0=-5x+5\\=>x=1\\$ .

so the x-coordinate is 1.

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Arrange the following aqueous solutions in order of decreasing freezing point: 0.10 m Na3PO4, 0.35 m NaCl, 0.20 m MgCl2, 0.15 m

GarryVolchara [31]

Answer: 0.35 m $NaCl$ > 0.20 m $MgCl_2$ >0.10 m $Na3PO_4$ > 0.15 m $CH_3COOH$ > 0.15 m $C_6H_{12}O_6$

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$T^o_f$ = freezing point of solvent

$k_f$ = freezing point constant

m = molality

1. For 0.10 m $Na3PO_4$

$Na_3PO_4\rightarrow 3Na^++PO_4^{3-}$

, i= 4 as it is a electrolyte and dissociate to give 4 ions. and concentration of ions will be $4\times 0.10=0.40$

2. For 0.35 m $NaCl$

$NaCl\rightarrow Na^++Cl^-$

, i= 2 as it is a electrolyte and dissociate to give 2 ions. and concentration of ions will be $2\times 0.35=0.70$

3. For 0.20 m $MgCl_2$

$MgCl_2\rightarrow Mg^{2+}+2Cl^-$

, i= 3 as it is a electrolyte and dissociate to give 3 ions. and concentration of ions will be $3\times 0.20=0.60$

4. For 0.15 m $C_6H_{12}O_6$

, i= 1 as it is a non electrolyte and does not dissociate to give ions.

5. For 0.15 m $CH_3COOH$

$CH_3COOH\rightarrow CH_3COO^-+H^+$

, i= 2 as it is a electrolyte and dissociate to give 2 ions and thus have $2\times 0.15=0.30$

As concentration is highest for 0.35 m $NaCl$ , freezing point depression will be highest and thus has lowest freezing point. As concentration is lowest for 0.15 m $C_6H_{12}O_6$ , freezing point depression will be lowest and thus has highest freezing point

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