17) large amounts of very important metal titanium are made by reacting magnesium metal with titanium tetrachloride. titanium metal and magnesium chloride are produced. a) write the balanced equation for this reaction. b) how many kilograms of magnesium are required to produce 1.00 kilograms of titanium? ( show work, .)

a) 2Mg + TiCl₄ ⟶ 2MgCl₂ + Ti

b) 1.02 kg

Step-by-step explanation:

a) Balanced equation

We know we will need a balanced equation with masses and molar masses, so let’s gather all the information in one place.  

M_r:    24.30                                 47.87

           2Mg + TiCl₄ ⟶ 2MgCl₂ + Ti

m/kg:                                              1.00

b) Mass of Mg

(i) Calculate the moles of Ti

n = 1.00 kg Ti  × (1 kmol Ti /47.87 kg Ti)

 = 0.020 89 kmol Ti

(ii) Calculate the moles of Mg

The molar ratio is (2 kmol Mg/1 kmol Ti)

n = 0.020 89 kmol Ti × (2 kmol Mg/1 kmol Ti)

  = 0.041 78 kmol Mg

(iii) Calculate the mass of Mg

m = 0.041 78 kmol Mg × (24.30 kg Mg/1 kmol Mg)

   = 1.02 kg Mg

You need 1.02 kg Mg to produce 1.00 kg Ti.

periodic trends is an atom that gets larger as the number of electronic shells increase, the radius of atoms increases as you go down a certain group in the periodic table of elements. in general, the size of an atom will decrease as you move from left to right of a certain period.