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Identify components in a circuit diagram and calculate resistance using Ohm's Law, and classify acids and bases based on pH.

Physics

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Here are the solutions to the questions:

1. (c)

  • (i)
    • II: Resistor
    • III: Switch
    • IV: Voltmeter
  • (ii) The circuit diagram is shown below: \begin{circuitikz} \draw (0,0) to[battery] (0,2) to[switch] (2,2) to[R, l_=$II$] (4,2) to[ammeter, l_=$V$] (6,2) -- (6,0) to[battery] (0,0); \draw (4,2) to[voltmeter, l_=$IV$] (4,0); \end{circuitikz} (Note: The diagram above represents a battery (I), switch (III), resistor (II), ammeter (V) in series, and voltmeter (IV) in parallel across the resistor.)
  • (iii)
  1. Identify the given values.

    The reading of V (ammeter) is the current, $I = 5$ A.  
    The reading of IV (voltmeter) is the potential difference, $V = 15$ V.
    
  2. Apply Ohm's Law to find the resistance (II).

    Ohm's Law states $V = IR$.
    $$
    R = \frac{V}{I}
    $$
    
  3. Substitute the values and calculate.

    $$
    R = \frac{15\, \text{V}}{5\, \text{A}} = 3\, \Omega
    $$
    The value of II is $\boxed{\text{3 } \Omega}$.
    

    1. (d)

    • (i)
      • (α) 7: C (NaCl is a neutral salt)
      • (β) 14: E (NaOH is a strong base)
    • (ii)
      • (α) strong acid: A (HCl)
      • (β) neutral: C (NaCl)
      • (γ) weak base: D (NH3_3)
    • (iii)
  4. Identify the solution and its concentration.

    Solution A is 0.1 mol dm$^{-3}$ HCl. HCl is a strong acid, so it fully dissociates.
    
  5. Calculate the pH.

    For a strong acid, $[\text{H}^+] = \text{concentration of acid}$.
    $$
    [\text{H}^+] = 0.1\, \text{mol dm}^{-3} = 10^{-1}\, \text{mol dm}^{-3}
    $$
    $$
    \text{pH} = -\log_{10}[\text{H}^+] = -\log_{10}(10^{-1}) = 1
    $$
    The pH value of solution A is $\boxed{\text{1}}$.
    
    • (iv) Solutions that react to form salt and water are an acid and a base. A (HCl) and E (NaOH). (Other valid pairs include A and D, B and E, B and D).
    • (v) Solution C is 0.1 mol dm−3^{-3} NaCl. Sodium chloride (NaCl) is a salt formed from a strong acid (HCl) and a strong base (NaOH), making its solution neutral. Universal indicator turns green in a neutral solution.
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