Question

Carbon dioxide expands isothermally at 40C from 310 kpa absolute pressure to an absolute pressure of 175 kpa . Determine the final density of the gas.

Answer 1

Answer on Question #46497, Physics, Molecular Physics

One end of a 30-cm long aluminium rod is exposed to a temperature of 500°C while the other end is maintained at 20°C. The rod has the diameter of 2.5 cm. If heat is conducted through the rod at the rate of 164.9 J/s, calculate the thermal conductivity of aluminium

Solution

From the ideal gas law $PV = \frac{m}{\mu} RT$ for the density at the final state we obtain the answer:

$$\rho_{2} = \frac{P_{2} \mu}{RT} = \frac{175 \cdot 10^{3} p a \times 44 \cdot 10^{-3} \frac{k g}{m o l}}{8.31 \frac{J}{m o l \cdot K} \times 313 K} = 2.96 \frac{k g}{m^{3}}$$

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