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Question

The cost of electricity required to deposit 1 gm of Mg is Rs. 5.. How much would it cost to deposit 10 gm. of Al?(Atwt.Al=27,Mg=24)

A
Rs. 10.00
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B
Rs. 27.00
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C
Rs. 44.44
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D
Rs. 66.67
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Solution

The correct option is C Rs. 44.44
For Magnesium
m=1 gm
M=24 gm
No.ofMoles=MassMolarmass
No.ofMoles=124=0.04 moles
No. of atoms in 1 mole =6.022×1023
No. of atoms in 0.04 mole =0.04×6.022×1023=2.4×1022 atoms

For Aluminium
m=10 g
M=27 g
No.ofmoles=1027=0.37 moles
No. of atoms in 0.37 moles=0.37×6.022×1023=2.2×1023 atoms
According to question
cost to deposit 2.4×1022 atoms is =Rs 5
Cost to deposit 2.3×1023 atoms is =52.4×1022×2.2×1023=44 Rs

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