Question

In an adiabatic process if pressure P and density
d of a monatomic gas are related as P is
proportional to d*, then x is equal to
NIC VIN
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Answer 1

Answer:

The value of 'x' is 5/3.

Explanation:

Given: Pressure P is directly proportional to density of monatomic gas d^x.

We know, density= mass/volume

P is inversely proportional to vol^x

That is, PV^x= Constant...... (i)

We know, for an adiabatic process PV^Y= Constant.....................(ii)

From (i) and (ii)

x=Y

Y for monatomic gas is CP/CV

Y= (5/2R) (3/2R)

Y= (5/3)