Question #8802

What is the density of 5 moles of argon at 790 torr and 75 F?

Expert's answer

790 torr=105324,671 Pa75 F=23,88∘C=297,04 K\begin{array}{l} 790 \text{ torr} = 105324,671 \text{ Pa} \\ 75 \text{ F} = 23,88^{\circ} \text{C} = 297,04 \text{ K} \end{array}pV=nRTpV=mMRTpM=mVRTpM=ρRTρ=pMRT=105324,671⋅0,039958,31⋅297,04=1,705 g/cm3\begin{array}{l} pV = nRT \\ pV = \frac{m}{M} RT \\ pM = \frac{m}{V} RT \\ pM = \rho RT \\ \rho = \frac{pM}{RT} = \frac{105324,671 \cdot 0,03995}{8,31 \cdot 297,04} = 1,705 \text{ g/cm}^3 \end{array}


Answer: 1,705 g/cm31,705 \text{ g/cm}^3

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