1. **State the problem:** Calculate how much charge passes through a smoke detector connected to a 9.0 V cell transferring energy at a rate of $1.0 \times 10^{-4}$ W in one day.
2. **Formula and explanation:** Power $P$ is the rate of energy transfer, and it relates to voltage $V$ and current $I$ by the formula:
$$P = VI$$
Charge $Q$ passing through in time $t$ is related to current by:
$$Q = It$$
3. **Calculate current $I$:**
$$I = \frac{P}{V} = \frac{1.0 \times 10^{-4}}{9.0} = 1.11 \times 10^{-5} \text{ A}$$
4. **Calculate time $t$ in seconds:**
One day has 24 hours, each hour 3600 seconds:
$$t = 24 \times 3600 = 86400 \text{ s}$$
5. **Calculate charge $Q$:**
$$Q = It = (1.11 \times 10^{-5}) \times 86400 = 0.96 \text{ C}$$
6. **Simplify and match answer:**
$0.96 \approx 0.98$ C, so the closest answer is B.
**Final answer:** B 0.98 C
Charge Smoke Detector 9A1F60
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