Respuesta :
Answer:
0.0078 mole
Explanation:
Volume of Blood = 1.0 L
Sugar concentration in blood = 140 mg/dL
no. of moles of Glucose = ?
Molar mass of sugar (C₆H₁₂O₆) = 180.16 g/mol
Solution:
To find the concentration concentration of sugar in 1.0 liter blood, first we convert mg/dL to g/L
So,
As we know
10 dL = 1 L
1 dL = x L
do cross multiplication
x L = 1 dL x 1 L / 10 dL
x L = 0.1 L
So,
1 dL = 0.1 L
Now we hae to convert mg to gram
As we Know
1 mg = 0.001 g
So,
140 mg = 140 x 0.001 = 0.14 g
So we come to know abot the concentration of sugar in terms of g/L as follows
140 mg/dL = 0.14 g/ 0.1 L
So now we have to find total amount of sugar in one liter. As we know there is 0.14 g sugar in 0.1 L of blood then how much amount it will be in 1 L of blood.
Apply unity formula
0.14 g sugar ≅ 0.1 L of blood
X g sugar ≅ 1 L of blood
Do cross Multiplication
X g sugar = 1 L x 0.14 g/ 0.1 L
X g sugar = 1.4 g
So we have 1.4 g in 1 l of blood, now we will convert mass to moles.
Formula will be used
no. of moles = mass in grams / molar mass . . . . . (1)
As we know
Molar mass of sugar (C₆H₁₂O₆) = 180.16 g/mol
put values in above equation 1
no. of moles = 1.4 g / 180.16 g/mol
no. of moles = 0.0078 mol
So,
1.0 L of blood contain 0.0078 moles of sugar.
