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1) large helium filled balloons are used to lift scientific equipment to high altitudes. What is the pressure inside such a balloon if it starts out at sea level with a temperature of 8.0 and rises to an altitude where its volume is twenty times the original volume and its temperature is -49. (Temperatures are in Celsius)

a. What is the gauge pressure? (Assume atmospheric pressure is constant.)

2) In the deep space between galaxies, the density of atoms is as low as 1X10^6 atoms/m^3, and the temperature is a frigid 270 K. What is the pressure?

a. What volume (in m^3) is occupied by 1.0 mol of gas?

b. If this volume is a cube, what is the length of its sides in kilometers?

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