Given : the first reaction is addition of 6M nitric acid to elemental copper.
That is of the given reaction :
Cu(s) + 4HNO3(aq) ---->Cu(NO3)2 (aq) + 2NO2(g) + 2H2O (l)
Number of moles = molecular mass
1mol of Cu= 63.55 g
1mol of HNO3 =63.01 g
4 mol of HNO3 =4*63.01 g = 252.04 g
1mol of Cu(NO3)2=187.56 g
1mol of NO2= 46 g
2mol of NO2= 2*46 g= 92g
1mol of H2O= 18 g
2 mol of H2O= 2*18 g = 36g
1) 6.67 ml of 6 molar nitric acid is needed to react with 0.636 gram copper
In the given reaction:
1 mol of Cu reacts with 4 mol of HNO3
In terms of molar masses
63.55 g of Cu reacts with 252.04 g of HNO3
1g of Cu reacts with 252.04/63.55 g of HNO3
1g of Cu reacts with 3.966g of HNO3
0.636 g of Cu reacts with 3.966g*0.636 of HNO3
0.636 g of Cu reacts with 2.522g of HNO3
mass of HNO3 to be reacted = 2.522g
Formula to be used
Molarity (M)= number of moles of solute(n)/ Volume of solution in L
M= n/V
given : Molarity of HNO3 (M)= 6M = 6mol/L
mass of HNO3 (w)= 2.522 g
Molar mass of HNO3 (M.M)= 63.01 g g/mol
number of moles(n)= given mass(w)/molar mass(M.M)
number of moles(n) =2.522 g/(63.01 g/mol)
Cancelling unit of Gram from both the numerator and denominator.
number of moles(n) =(2.522 /63.01 )mol
n= 0.040 mol
Putting all values in the given formula
M= n/V
V = n/M
V= 0.04 mol/(6 mol/L)
Cancelling unit of 'mol' from both the numerator and denominator
V= (0.04/6)L
V= 0.006671 L
1L = 1000ml
0.00667 L =( 1000*0.00667)ml = 6.67 ml
V= 6.67 ml
a.0.636 g of Cu =0.010 mol of Cu
given mass of Copper = 0.636 g
Number of moles = molecular mass
1mol of Cu= 63.55 g
63.55g Cu = 1mol of Cu
1g = 1/63.55 mol of Cu
(Given mass = 0.636 g )
0.636 g = 0.636g*(1/63.55g) mol of Cu
Cancelling unit of Gram from both the numerator and denominator.
0.636 g =(0.636/63.55) mol of Cu
0.636 g =0.010 mol of Cu
b. 0.040 mol of HNO3 are needed for the amount of copper in part (a) using the balance chemical equation.
According to balance chemical reaction 1 mole of copper reacts with 4 mol of nitric acid.
In part (a) number of moles of copper are calculated equals to 0.010 mole of copper.
1 mole of Cu reacts with 4 mol of HNO3
0.010 mol of Cu reacts with 0.010*4 mol of HNO3
0.010 mol of Cu reacts with 0.040 mol of HNO3
c. 6.67 ml of 6 M HNO3 need to provide the moles of HNO3 in part-b
Moles of HNO3 from part (b) (n)= 0.040 mol
Molarity of HNO3 (M)=6M
M= n/V
V = n/M
V = 0.040 mol /6M
( Units 1M = 1mol/L)
V = 0.040 mol /6mol/L
Cancelling unit of 'mol' from both the numerator and denominator
V= (0.040/6) L
V= 0.006666 L
V= 0.667 L
1L = 1000ml
0.00667 L =( 1000*0.00667)ml = 6.67 ml
V= 6.67 ml
d. 0.0157 mol Copper(||) nitrate expected to obtain from 0.636 gram copper
From the balanced chemical reaction
1 mol Cu gives 1mol Copper(||) nitrate
In terms of mass
63.55g Cu gives 187.56g Copper(||) nitrate
1g Cu gives 187.56/63.55g Copper(||) nitrate
1g Cu gives 2.95 g Copper(||) nitrate
Moles of Copper(||) nitrate = mass /molar mass
Moles of Copper(||) nitrate = 2.95 /187.56= 0.0157 mol
Use seratch paper if necessary, and copy your completed calculations to this sheet Shown below are...
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