11판/1. 측정

1-32 할리데이 11판 솔루션 일반물리학

짱세디럭스 2022. 10. 9. 22:59

풀이에 필요한 정보가 너무 부족하여 고양이의 질량과 구성성분비는 임의로 정했습니다. {Cat=5[kg]1[mol]=6.02×10231[u]=1[g/mol] \begin{cases} \text{Cat} &= 5\ut{kg}\\ 1\ut{mol}&=6.02\times10^{23}\\ 1\ut{u}&=1\ut{g/mol} \end{cases} {O:70[%]C:20[%]H:10[%] \begin{cases} O : 70\ut{\%}\\ C : 20\ut{\%}\\ H : 10\ut{\%}\\ \end{cases} {mO=16[u]mC=12[u]mH=1.0[u] \begin{cases} m_O &= 16\ut{u}\\ m_C &= 12\ut{u}\\ m_H &= 1.0\ut{u}\\ \end{cases} {MO=5[kg]0.7=3.5[kg]MC=5[kg]0.2=1[kg]MH=5[kg]0.1=0.5[kg] \begin{cases} M_O &= 5\ut{kg}\cdot0.7=3.5\ut{kg}\\ M_C &= 5\ut{kg}\cdot0.2=1\ut{kg}\\ M_H &= 5\ut{kg}\cdot0.1=0.5\ut{kg}\\ \end{cases} nO=MOmO=3.5[kg]16[u]1[u]1[mol]1[g]1000[g]1[kg]=8754[mol](1) \begin{aligned} n_O &= \frac{M_O}{m_O}\\ &=\frac{3.5\ut{kg}}{16\ut{u}}\cdot\frac{1\ut{u}\cdot1\ut{mol}}{1\ut{g}}\cdot\frac{1000\ut{g}}{1\ut{kg}}\\ &=\frac{875}{4}\ut{mol}&\cdots(1) \end{aligned} nC=MCmC=1[kg]12[u]1[u]1[mol]1[g]1000[g]1[kg]=2503[mol](2) \begin{aligned} n_C &= \frac{M_C}{m_C}\\ &=\frac{1\ut{kg}}{12\ut{u}}\cdot\frac{1\ut{u}\cdot1\ut{mol}}{1\ut{g}}\cdot\frac{1000\ut{g}}{1\ut{kg}}\\ &=\frac{250}{3}\ut{mol}&\cdots(2) \end{aligned} nH=MHmH=0.5[kg]1.0[u]1[u]1[mol]1[g]1000[g]1[kg]=500[mol](3) \begin{aligned} n_H &= \frac{M_H}{m_H}\\ &=\frac{0.5\ut{kg}}{1.0\ut{u}}\cdot\frac{1\ut{u}\cdot1\ut{mol}}{1\ut{g}}\cdot\frac{1000\ut{g}}{1\ut{kg}}\\ &=500\ut{mol}&\cdots(3) \end{aligned} (1),(2),(3) (1),(2),(3) Ans=Σn=8754[mol]+2503[mol]+500[mol]=962512[mol]802.0833333333334[mol]8.0×102[mol] \begin{aligned} \Ans&=\Sigma n\\ &=\frac{875}{4}\ut{mol}+\frac{250}{3}\ut{mol}+500\ut{mol}\\ &=\frac{9625}{12}\ut{mol}\\ &\approx802.0833333333334\ut{mol}\\ &\approx8.0\times10^2\ut{mol}\\ \end{aligned}