If 500 mL of a 5M solution is diluted to 1500 mL, what will be the molarity of thesolution obtained?(i) 1.5 M (ii) 1.66 M(iii) 0.017 M (iv) 1.59 M2. The number of atoms present in one mole of an element is equal to Avogadronumber. Which of the following element contains the greatest number of atoms?(i) 4g He (ii) 46g Na(iii) 0.40g Ca (iv) 12g He3. What will be the molality of the solution containing 18.25 g of HCl gas in 500 g ofwater?(i) 0.1 m (ii) 1 M(iii) 0.5 m (iv) 1 m4. Which of the following statements about a compound is incorrect?(i) A molecule of a compound has atoms of different elements.(ii) A compound cannot be separated into its constituent elements by physicalmethods of separation.(iii) A compound retains the physical properties of its constituent elements.(iv) The ratio of atoms of different elements in a compound is fixed.
Question
If 500 mL of a 5M solution is diluted to 1500 mL, what will be the molarity of thesolution obtained?(i) 1.5 M (ii) 1.66 M(iii) 0.017 M (iv) 1.59 M2. The number of atoms present in one mole of an element is equal to Avogadronumber. Which of the following element contains the greatest number of atoms?(i) 4g He (ii) 46g Na(iii) 0.40g Ca (iv) 12g He3. What will be the molality of the solution containing 18.25 g of HCl gas in 500 g ofwater?(i) 0.1 m (ii) 1 M(iii) 0.5 m (iv) 1 m4. Which of the following statements about a compound is incorrect?(i) A molecule of a compound has atoms of different elements.(ii) A compound cannot be separated into its constituent elements by physicalmethods of separation.(iii) A compound retains the physical properties of its constituent elements.(iv) The ratio of atoms of different elements in a compound is fixed.
Solution 1
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The molarity of a solution is determined by the formula M1V1 = M2V2, where M1 and V1 are the initial molarity and volume, and M2 and V2 are the final molarity and volume. In this case, M1 is 5M, V1 is 500mL, and V2 is 1500mL. Solving for M2 gives us M2 = (M1V1)/V2 = (5M * 500mL) / 1500mL = 1.66M. So, the answer is (ii) 1.66 M.
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The number of atoms in a mole of any element is equal to Avogadro's number, which is approximately 6.022 x 10^23 atoms/mole. The number of moles of an element is determined by the formula moles = mass/molar mass. The molar mass of He is 4g/mole, Na is 23g/mole, and Ca is 40g/mole. Therefore, 4g of He is 1 mole, 46g of Na is 2 moles, 0.40g of Ca is 0.01 moles, and 12g of He is 3 moles. So, the element with the greatest number of atoms is (ii) 46g Na.
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The molality of a solution is determined by the formula molality = moles of solute / mass of solvent in kg. The molar mass of HCl is approximately 36.5g/mole. Therefore, 18.25g of HCl is 0.5 moles. The mass of the water is 500g, or 0.5kg. So, the molality of the solution is 0.5 moles / 0.5 kg = 1m. So, the answer is (iv) 1 m.
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A compound is a substance formed when two or more elements are chemically bonded together. The ratio of atoms in a compound is fixed and it does not retain the physical properties of its constituent elements. Therefore, the statement that is incorrect is (iii) A compound retains the physical properties of its constituent elements.
Solution 2
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The molarity of a solution is calculated by the formula M1V1 = M2V2, where M1 and V1 are the initial molarity and volume, and M2 and V2 are the final molarity and volume. In this case, M1 is 5M, V1 is 500mL, and V2 is 1500mL. We can solve for M2:
5M * 500mL = M2 * 1500mL M2 = (5M * 500mL) / 1500mL M2 = 1.66M
So, the answer is (ii) 1.66 M.
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The number of atoms in a mole of any element is equal to Avogadro's number, which is approximately 6.022 x 10^23 atoms/mole. Therefore, the element with the greatest mass will have the greatest number of atoms. In this case, that is (ii) 46g Na.
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The molality of a solution is calculated by the formula molality = moles of solute / mass of solvent in kg. In this case, the molar mass of HCl is approximately 36.5 g/mol, so there are 18.25g / 36.5 g/mol = 0.5 moles of HCl. The mass of the water is 500g, or 0.5kg. Therefore, the molality is 0.5 moles / 0.5 kg = 1m. So, the answer is (iv) 1 m.
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A compound is a substance formed when two or more elements are chemically bonded together. The properties of a compound are different from the properties of its constituent elements. Therefore, the statement (iii) "A compound retains the physical properties of its constituent elements." is incorrect.
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