1 of 1 CHEM 361 Assignment 11-(OUTOF 20 PTS) Please complete this assignment by

Question

1 of 1 CHEM 361 Assignment 11-(OUTOF 20 PTS) Please complete this assignment by Thursday, May 6 at 4pm. 1. The coff a certain gas at 25 C is 411 m/sec. Determine the molar mass of the gas. 2. The cof a sample of O2 is 575 m/sec. Determine the temperature of the gas. 3. The escape velocity, the velocity required by an object to escape from the gravitational field of a body, is given by (2gr) where r is the radius for Earth (6.37 x 106 m). At what temperature will the cof an H2 molecule and of an N2 molecule attain the escape velocity?

Explanation / Answer

R= 8.314 J/mol. T= 25+273.15 K= 298.15 K M =molar mass in kg/mol

V= 411 m/sec

V2= 3RT/M

M= 3RT/V2= 3*8.314*298.15/ (411)2= 0.044 kg/mol =44 g/mol

From V2= 3RT/M, T= MV2/3R =0.032*(575)2/ (3*8.314) =424 K= 150.85 deg.c

C) Escape velocity = (2*9.8*6.37*106)0.5 =11173 m/sec

From V= Sqrt (3KT/m)

V2= 3KT/m

T= mV2/3K

Where m= mass of hydrogen molecule = 2/(6.023*1023)= 0.166*10-23 gms= 0.166*10-26 kg

K= Boltzman constant= 1.38*10-23 j/K

T= 0.166*10-26*(11173)2/ 3*1.38*10-23 =5005

For hydrogen molecule

T= 0.166*10-26*28*(11173)2/ (3*1.68*10-23 =5000*28= 1400140 K

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