Deduce the relation between the pressure and mass density, rho, of a perfect gas of molar mass M. Confirm graphically, using the following data on dimethyl ether at 25°C, that perfect behavior is reached at low pressure and find the molar mass of the gas. p/kPa p/(kg m-³) 12.223 0.225 25.20 0.456 36.97 0.664 60.37 1.062 85.23 1.468 101.3 1.734

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Deduce the relation between the pressure and mass density, rho, of a perfect gas of molar mass M.
Confirm graphically, using the following data on dimethyl ether at 25°C, that perfect behavior is reached
at low pressure and find the molar mass of the gas.
p/kPa
p/(kg m-³)
12.223
0.225
25.20
0.456
36.97
0.664
60.37
1.062
85.23
1.468
101.3
1.734
Transcribed Image Text:Deduce the relation between the pressure and mass density, rho, of a perfect gas of molar mass M. Confirm graphically, using the following data on dimethyl ether at 25°C, that perfect behavior is reached at low pressure and find the molar mass of the gas. p/kPa p/(kg m-³) 12.223 0.225 25.20 0.456 36.97 0.664 60.37 1.062 85.23 1.468 101.3 1.734
Expert Solution
Step 1

The relationship between pressure, volume, temperature, number of moles, and gas constant for an Ideal gas is expressed as:

PV=nRT......(1)

Where,

P is the pressure.

V is the volume.

n is the number of moles.

R is the gas constant.

T is the temperature.

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