Question

X is an ionic compound containing
only magnesium, aluminium and
oxygen. Which of the following can be
the formula of X?
a. Mg2Alo4
b. MgAl204
C. MgAlO4
d. Mg4Alo2

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Answer 1

Answer:-

The formula of 'X' is MgAl₂O₄ [Option.b]

Explanation:-

→ Charge of Magnesium ion = +2

→ Charge of Aluminium ion = +3

→ Charge of Oxide ion = -2

Now, we know that net charge of an ionic compound is always zero. So among the given options, the compound having net charge zero will be the answer.

For Option (a):-

Net charge :-

= 2(+2) + 1(+3) + 4(-2)

= 4 + 3 - 8

= -1

For option (b):-

Net charge :-

= 1(+2) + 2(+3) + 4(-2)

= 2 + 6 - 8

= 0

For option (c):-

Net charge :-

= 1(+2) + 1(+3) + 4(-2)

= 2 + 3 - 8

= -3

For option (d):-

Net charge :-

= 4(+2) + 1(+3) + 4(-2)

= 8 + 3 - 8

= +3

________________________________

The net charge in MgAl₂O₄ is zero, so it is the required answer!

Answer 2

Answer:

Given :-

• X is an ionic compound containing only magnesium, aluminium and oxygen.

To Find :-

• What is the formula of X.

Solution :-

So, first we know that,

➲ Charge for Magnesium ion = (+ 2)

➲ Charge for Aluminium ion = (+ 3)

➲ Charge for oxygen ion = (- 2)

Now, as we know that :

★ Any ionic compound will have a net charge of zero ★

So, now we have to find that in all the above option which answer comes zero.

✦ Mg2AlO4 :- (option no a)

• Mg = Magnesium = + 2
• Al = Aluminium = + 3
• O = Oxygen = - 2

↦ (+ 2)2 + (+ 3)1 + (- 2)4

↦ 4 + 3 - 8

↦ 7 - 8

➠ - 1

________________________

✦ MgAl2O4 :- (option no b)

• Mg = Magnesium = + 2
• Al = Aluminium = + 3
• O = Oxygen = - 2

↦ (+ 2)1 + (+ 2)2 + (- 2)4

↦ 2 + 4 - 8

↦ 8 - 8

➠ 0

________________________

✦ MgAlO4 :- (option no c)

↦ (+ 1)1 + (+ 3)1 + (- 2)4

• Mg = Magnesium = + 2
• Al = Aluminium = + 3
• O = Oxygen = - 2

↦ (+ 1)1 + (+ 3)1 + (- 2)4

↦ 1 + 3 - 8

↦ 4 - 8

➠ - 4

_________________________

✦ Mg4AlO2 :- (option no d)

• Mg = Magnesium = + 2
• Al = Aluminium = + 3
• O = Oxygen = - 2

↦ (+ 2)4 + (+ 3)1 + (- 2)4

↦ 8 + 3 - 8

↦ 11 - 8

➠ 3

_________________________

Hence, we can see that MgAl2O4 = 0.

Hence, the correct options is option no (b) MgAl2O4.

∴ The formula of X is MgAl2O4.