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# Atmosphere of Titan. Titan, the largest satellite of ## Problem 59P Chapter 18

University Physics | 13th Edition

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Problem 59P

Atmosphere of Titan. Titan, the largest satellite of Saturn, has a thick nitrogen atmosphere. At its surface, the pressure is 1.5 earth-atmospheres and the temperature is 94 K. (a) What is the surface temperature in oC? (b) Calculate the surface density in Titan’s atmosphere in molecules per cubic meter. (c) Compare the density of Titan’s surface atmosphere to the density of earth’s atmosphere at 22o C. Which body has denser atmosphere?

Step-by-Step Solution:

Solution to 59P Step 1 Atmospheric composition of Titan=Nitrogen (N ) 2 Pressure of Titan atmosphere =1.5 earth atmospheres=1.5 bar =1.5x10 Pa 5 Temperature=94K -3 Molar mass of Nitrogen =28.013g=28.013x10 Kg Step 2 (a) 0 0 Temperature in C=(94-273.15) C 0 T=-179.15 C Step 2 pv = nRT pv = mRT/M ………………………………………….(number of moles= mass/Molar mass) pM/RT = m/v pM/RT = =1.5x10 Pa X28.013x10 /8.314X(94) =5.37kg/m 3

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