本题目来源于试卷: 2011 美国F=ma物理竞赛 F=ma physics competition，类别为 美国物理杯赛(Physics Bowl)
[单选题]
An engineer is given : nf x*olo (fv4mrl0l5a bj .c oq+h3r4bfixed volume $V_{m}$ of metal with which to construct a spherical pressure vessel. Interestingly, assuming the vessel has thin walls and is always pressurized to near its bursting point, the amount of gas the vessel can contain, $n$ (measured in moles), does not depend on the radius $r$ of the vessel; instead it depends only on $V_{m}$ (measured in $\mathrm{m}^{3}$ ), the temperature $T$ (measured in $\mathrm{K}$ ), the ideal gas constant $R$ (measured in $\mathrm{J} /(\mathrm{K} \cdot \mathrm{mol})$ ), and the
tensile strength of the metal $\sigma$ (measured in $\mathrm{N} / \mathrm{m}^{2}$ ). Which of the following gives $n$ in terms of these parameters?
A. $n=\frac{2}{3} \frac{V_{m} \sigma}{R T}$
B. $n=\frac{2}{3} \frac{\sqrt[3]{V_{m} \sigma}}{R T}$
C. $n=\frac{2}{3} \frac{\sqrt[3]{V_{m} \sigma^{2}}}{R T}$
D. $n=\frac{2}{3} \frac{\sqrt[3]{V_{m}^{2} \sigma}}{R T}$
E. $n=\frac{2}{3} \sqrt[3]{\frac{V_{m} \sigma^{2}}{R T}}$
参考答案: A
本题详细解析:
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