The gas equation is PV = nRT. If P the pressure is 2.0 atm, V the volume of the gas is 6 m3, R the gas constant is 0.08206 m3 atm mole-1 K-1 and T is 300 degrees Kelvin, what are the units of n and what is its numerical value?
Q180916
The gas equation is PV = nRT. If P the pressure is 2.0 atm, V the volume of the gas is 6 m3, R the gas constant is 0.08206 m3 atm mole-1 K-1 and T is 300 degrees Kelvin, what are the units of n and what is its numerical value?
Solution:
please check the value of gas constant, R in the question again
I will first solve the problem using the information given in the problem.
Next I will solve the problem using correct value of 'R' .
Pressure, P = 2.0 atm.
Volume, V = 6.0 m3.
Gas constant, R = 0.08206 m3.atm/mol.K
Temperature, T = 300 K
plug all this information in the ideal gas equation, PV = nRT.
The units of n is 'mol' and the numerical value is 0.487.
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I will suggest you to check the question again.
The proper value of Gas constant ' R' is 8.206 *10-5 m3.atm/mol.K
Now I will solve the problem, using R = 8.206 *10-5 m3.atm/mol.K
Pressure, P = 2.0 atm.
Volume, V = 6.0 m3.
Gas constant, R = 8.206 *10-5 m3.atm/mol.K
Temperature, T = 300 K
plug all this information in the ideal gas equation, PV = nRT.
If you use the correct value of Gas constant 'R' then we will get
The units of n is 'mol' and the numerical value is 487.
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