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there are as many notes as number of oxygen atoms in 24.8 grams Na2s2O3(Mw=248) .A Note counting machine comes 48 million notes per day number of days taken to count these notes
Answers
Given:
Mass of Na2S2O3 = 24.8 gm
Total no of notes = no of oxygen atoms in 24.8 gm Na2S2O3
Molar mass of Na2S2O3 = 248 gm
Notes counted by machine in 1 day = 48 million
To Find:
No of days taken to count all the notes.
Calculation:
- No of moles of Na2S2O3 in 24.8 gm = 24.8 / 248 = 0.1 moles
- No of moles of oxygen atoms in 0.1 moles of Na2S2O3 = 0.1 × 3 = 0.3 moles
- No of oxygen atoms in 0.1 moles of Na2S2O3 = 0.3 × 6.022 × 10²³ = 18.066 × 10²³ atoms
⇒Total no of notes = 18.066 × 10²³ atoms
- Time taken by machine to calculate 48 million notes = 1 day
- Time taken by machine to calculate 18.066 × 10²³ notes = (1/48×10⁶) × 18.066 × 10²³
⇒ Time taken by machine to calculate 18.066 × 10²³ notes = 3.763 × 10¹⁶ days
Explanation:
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