a) In the deep space between galaxies, the density of atoms is as low as 106 atoms/m3, and the temperature is a frigid 2.7 K. What is the pressure (in Pa)?
(b) What volume (in m3) is occupied by 6 mol of gas?
(c) If this volume is a cube, what is the length of its sides in kilometers?
(a) PV = nRT
P = nRT / V
here R = 1.38e-23 J/K
P = 106 * 1.38e-23 * 2.7
P = 3.726e-17 Pa
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(b) Again
PV = nRT
V = nRT / P
V = 6 * 8.314 * 2.7 / 3.726e-17
V = 3.614e18 m3
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(c) we now volume of cube is
V = L3
so,
L = V1/3
L = 1534.7 Km
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