Lesson_2.1_Homework_and_Solutions

# Lesson_2.1_Homework_and_Solutions - Lesson 2.1 Homework...

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Lesson 2.1 Homework Solutions 1. One mole of hydrogen gas contains 6.02 × 10 23 molecules. Each hydrogen molecule is composed of two hydrogen atoms and contains two protons. The total number of protons in one mole of hydrogen is 12.04 × 10 23 . Molar mass of hydrogen is 2.01588 × 10 -3 kg.mol -1 . The number of moles of hydrogen in one kg is: 3 mass 1 kg 496 moles molar mass 2.01588 10 n - = = = × Number of protons in 1 kg = 496 × 12.04 x 10 23 = 5.97 × 10 26 . Total charge = 5.97 × 10 26 × 1.602 × 10 -19 = 9.56 × 10 7 C 2. The charge carried by one proton = 1.602 × 10 -19 C. The number of protons in 1 C of charge = 19 18 1. 6.24 10 0 1.602 10 C C - × = × 3. 1 2 2 2 1 2 2 4.2 10 ...( ) q q q F k q k r r i - = × = Let F be the force when the distance between the two charges is (1/8)r 1 2 2 2 2 1 2 64 64 4.2 1 2. 0 1 8 69 kq q q q F k r r N - = = = × × = 4. 1 2 2 0.15 q q F k = When they are moved away, the force = (1/3)F. Let r be the new distance between q 1 and q 2 .

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1 2 2 1 2 2 2 2 1 2 2 2 2 2 1 3 0.15 1 0.15 3 3 0.15 3 0. 26 15 0.15 3 q q F k r kq q F r kq q F r r r m cm = = = = = × = = 5.
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