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Determine the empirical formula of an oxide of iron which has 69.9% iron and 30.1% oxygen by mass.

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Explanation

To determine the empirical formula, we need to find the simplest whole number ratio of atoms. Given: 69.9% iron and 30.1% oxygen. Assume 100 g of the oxide. Iron = 69.9 g, Oxygen = 30.1 g. Divide by atomic masses: Fe = 69.9/55.85 = 1.25, O = 30.1/16 = 1.88. Ratio is 1.25:1.88 ≈ 2:3. Therefore, the empirical formula is Fe2O3.

In a reaction formula of electrons are transferred to one mole of HNO3 when it reacts as an oxidant.The possible reduction product is

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Calculate the number of sulphate ions in 100mL of 0.001M ammonium sulphate solution.

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Explanation

$$ No of moles of (NH_4)_2 SO_4 = molarity \times Vol (L) $$ $ = 0.001 \times 0.1 = 0.0001 $ $ \therefore No. of SO ^ {2-} _ 4 ions = 0.0001 \times 6.022 = 10 ^ {23} = 6.022 \times 10 ^ {19} $

Calculate the molarity of a solution of ethanol in water in which mole fraction of ethanol is 0.040.

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Explanation

$$ X_{ETOH} = { n_{(ETOH)} \over n_{ETOH} + n_{(H_2O)} $$ $$ \therefore 0.04 = { n_{(ETOH)} \over n_{(ETOH)} + 55.55 } $$ $$ \therefore n_{(ETOH)} = 2.31 $$

The normality of 0.3M phosphorous acid is (IITJEE 1999)

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Explanation

phosphorous acid $ (H_3PO_3 )$ is a dibasic acid. Its structure is as follows : $ Normality = basicity \times Molarity = 2 \times 0.3 = 0.6 $

An aqueous solution of 6.3g oxalic acid dihydrate is made upto 250 mL. The volume of 0.1 N NaOH required to completely neutralize 10 mL of this solution is

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Explanation

$ Equivalents of H_2C_2O_4 . 2H_2O in 10ml = Equivalents of NaOH $ $ \therefore { 6.3 \times 1, 0000 \over 63 \times 250 \times 0.1 } = V = 40mL $

The pair of the compounds in which both the metals are in the highest possible oxidation state is

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Explanation

The oxidation states of various metals are : (a) Fe = + 3, Co + 3 (b) Cr = + 6 , Mn + 7 (c) Ti = + 6, Mn + 4 (d) Co = + 3, Mn + 6

In the analysis of 0.0500 g sample of feldspar, a mixture of the chiorides of sodium and potassium is obtained, which weighs 0.1180 g. Subsequent treatment of the mixed chlorides with silver nitrate gives 0.2451g of silver chloride. What is the percentange of a sodium oxide and potassium oxide in feldspar ?

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Explanation

Suppose amount of NaCl in the mixture = ‘x’ g The amount of KCl in the mixture = (0.118 - x) g $ NaCl + AgNO_3 \rightarrow AgCl + NaNO_3 $ 58.5 143.5 $ \therefore x { 143.5 \times x \over 58.5 } g ..... (i) $ $ Similarly AgCl obtained from KCl = { 143.5 \times (0.118 - x) \over 74.5 } g... (ii)$ But (i) + (ii) = 0.2451 g (Given) Amount of NaCl = 0.0338 g Amount of KCl = 0.0842 g Now, $ 2NaCl =Na_2O $ 117 62 0.0338 $ {0.0338 \times 62 \over 117 } = 0.0179 g$ $ % of Na_2O = { 0.0179 \times 100 \over 0.5 } = 3.58 \% ....$

A compound contains 28% of nitrogen and 72% of a metal by weight. Three atoms of the metal combine with two atoms of nitrogen. Find the equivalent weight of the metal.

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Explanation

$ Equivalent weight = { Atomic Weight \over Valency } $

The density of a $ 3M Na_2S_2O_3 solution is 1.25 g per mL, What is the molalities of Na^+ and S_2 O{ 2-} _3 $ ions ?

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Explanation

$ m = { 1000 M \over 1000d - MM_s } $ M = Molarity of solution d = density of solution $ M_s $ = Molar mass of solute $ = { 1000 \times 3 \over 1000 \times 1.25 - 3 \times 158 } = 3.865 $

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