A 4-L sink is initially half-full of water. The faucet is turned on, and 1 kg/min of water begins pouring into the sink. At the same moment that the faucet is turned on, the drain is opened, and 10 cm³/sec of water flows out of the sink (Figure 3-4). How long after the faucet is turned on will the sink overflow?

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min = 1 kg/min V=2L min = 1 kg/min V=4L ✓ ✓ = 10 cm³/sec FIGURE 3-4 Initial and final states of the bathroom sink described in Example 3-2. v = 10 cm³/sec