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- 問題:** 化学の生徒が、250 mLの0.5 M NaCl溶液と750 mLの0.2 M NaCl溶液を混合して混合溶液を調製しました。最終的なNaCl濃度はどのようになりますか？
- まず、各溶液中のNaClの総モル数を計算します。
- M溶液: \(0.5 \, \text{M} \times 0.250 \, \text{L} = 0.125 \, \text{moles}\)
- NaClの総モル数 = \(0.125 + 0.150 = 0.275 \, \text{moles}\)
- 最終的な体積 = \(250 \, \text{mL} + 750 \, \text{mL} = 1000 \, \text{mL} = 1.000 \, \text{L}\)
- 最終的な濃度 = \(\frac{0.275 \, \text{moles}}{1.000 \, \text{L}} = 0.275 \, \text{M}\)
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#### 479
Marcus, a technology consultant, is optimizing cloud costs for a client. The client currently spends $1,800/month on servers, with 40% allocated to underutilized resources. By right-sizing those, Marcus hopes to reduce usage by 35%. After optimization, what will the new monthly cost be, assuming only underused resources cost less and no additional scaling is needed?
Underutilized cost = 40% of $1,800 = 0.4 × 1800 = <<0.4*1800=720>>720.
Reducing this by 35% = 720 × 0.65 = <<720*0.65=468>>468.
Remaining optimized cost = 1800 – 720 + 468 = 1080 + 468 = <<1080+468=1548>>1548.
#### 1548
In Dr. Elena’s lab, a synthetic virus construct requires 3 parts protein A, 5 parts protein B, and 2 parts enzyme E. If she needs to produce 500 units of the construct and scaling requires exact stoichiometric ratios, how many units of protein B are required?
Total ratio parts = 3 + 5 + 2 = <<3+5+2=10>>10.
Protein B fraction = 5/10 = 0.5.
Units of protein B = 0.5 × 500 = <<0.5*500=250>>250.
