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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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5 stepsHere 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)
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.Apply Ohm's Law to find the resistance (II).
Ohm's Law states $V = IR$. $$ R = \frac{V}{I} $$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 (NH)
- (iii)
- (i)
Identify the solution and its concentration.
Solution A is 0.1 mol dm$^{-3}$ HCl. HCl is a strong acid, so it fully dissociates.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 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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