27. The equation of a state for 5 gram of oxygen at a pressure P and temperature T, when occupying a volume
V will be
(A) PV=5RT/32
(B) PV=SRT/16
(C) PV=(5/2)RT
(D) PV=5RT
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Answer:
According to Ideal gas equation
PV= nRT where P =pressure; V= volume; n= number of moles; R= gas constant; T= temperature(kelvin)
Also
number of moles (n)= total mass/Molar mass
Thus the ideal gas equation can be written as
PV= (m/M) RT
Here total mass = 5 g (given) and
molar mass of (O) = 16
Oxygen O2 = 16 × 2= 32
PV= (5/32) RT.
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