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NCERT Class XI Chemistry Some Basic Concepts of Chemistry Solutions

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Question : 12 of 36
Marks: +1, -0
If the density of methanol is 0.793 kg L−1\mathrm{kg\,L^{-1}}, what is its volume needed for making 2.5 L of its 0.25 M solution?
Solution:  
Moles of methanol present in 2.5 L of 0.25 M solution
Molarity = Moles of CH3OHVolume in litre\frac{\text{Moles of }\mathrm{CH_3OH}}{\text{Volume in litre}} ⇒ 0.25 = Moles of C3OH2.5\frac{\text{Moles of }\mathrm{C_3OH}}{2.5}
∴ Moles of CH3OH\mathrm{CH_3OH} = 2.5 × 0.25 = 0.625
∴ Mass of CH3OH\mathrm{CH_3OH} = 0.625 × 32 = 20 g
[∴ Molecular mass of CH3OH\mathrm{CH_3OH} = 12 + 1 × 3 + 16 + 1 = 32]
∴ 0.793 × 10310^{3} g of CH3OH\mathrm{CH_3OH} is present in 1000 mL
∴ 20 g of CH3OH\mathrm{CH_3OH} is present in = 10000.793×103\frac{1000}{0.793 \times 10^{3}} × 20 = 25.2 mL
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