(a.) In the deep space between galaxies, the density of atoms (that is, the number of atoms per unit volume, also called the number density) is as low as 10 atoms/m³, and the temperature is a frigid 2.7 K. What is the absolute pressure in Pascals (Pa), assuming we can treat this as an ideal gas? (Note that 1 Pa = 1 N/m² = 1 kg/(m s²)) (b.) Using the value of pressure you calculated in part (a.), what volume (in m³) is occupied by 1 mol of gas? (e.) What is the average kinetic energy (in J) of an atom in this gas?

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(a.) In the deep space between galaxies, the density of atoms (that is, the number of atoms per unit volume, also called
the number density) is as low as 10° atoms/m³, and the temperature is a frigid 2.7 K. What is the absolute pressure
in Pascals (Pa), assuming we can treat this as an ideal gas? (Note that 1 Pa = 1 N/m² = 1 kg/(m s²))
(b.) Using the value of pressure you calculated in part (a.), what volume (in m³) is occupied by 1 mol of gas?
(e.) What is the average kinetic energy (in J) of an atom in this gas?
(d.) Assuming the atoms in this gas are hydrogen atoms (which have a mass of 1.66 x 10-27 kg), what is the average
velocity Urms of the gas atoms?
Transcribed Image Text:(a.) In the deep space between galaxies, the density of atoms (that is, the number of atoms per unit volume, also called the number density) is as low as 10° atoms/m³, and the temperature is a frigid 2.7 K. What is the absolute pressure in Pascals (Pa), assuming we can treat this as an ideal gas? (Note that 1 Pa = 1 N/m² = 1 kg/(m s²)) (b.) Using the value of pressure you calculated in part (a.), what volume (in m³) is occupied by 1 mol of gas? (e.) What is the average kinetic energy (in J) of an atom in this gas? (d.) Assuming the atoms in this gas are hydrogen atoms (which have a mass of 1.66 x 10-27 kg), what is the average velocity Urms of the gas atoms?
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