A 5.0-liter gas tank holds 1.4 moles of helium (He)and 0.70 moles of oxygen (O₂),at a temperature of 260 K.The atomic masses of helium and oxygen are 4.0 g/mol and 16.0 g/mol,respectively.Avogadro's number is 6.022 × 10²³ molecules/mol and the Boltzmann constant is 1.38 × 10^-23 J/K.The total random translational kinetic energy of the gas in the tank is closest to

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Quizplus · Accepted Answer

The total random translational kinetic energy of the gas in the tank is given by:$$E_{tot}=\frac{3}{2}nRT$$where n is the total number of moles of gas, R is the ideal gas constant, and T is the temperature.The total number of moles of gas is:$$n=n_{He}+n_{O_2}=1.4	ext{ mol}+0.70	ext{ mol}=2.1	ext{ mol}$$The ideal gas constant is:$$R=8.31	ext{ J/mol K}$$The temperature is:$$T=260	ext{ K}$$Substituting these values into the equation for the total random translational kinetic energy, we get:$$E_{tot}=\frac{3}{2}(2.1	ext{ mol})(8.31	ext{ J/mol K})(260	ext{ K})=6.8	ext{ kJ}$$Therefore, the total random translational kinetic energy of the gas in the tank is closest to 6.8 kJ.

A 50-Liter Gas Tank Holds 1