Question

# For a monoatomic ideal gas undergoing an adiabatic change, the relation between temperature and volume $$TV^x =constant$$ where $$x$$ is :

A
75
B
25
C
23
D
13

Solution

## The correct option is C $$\dfrac{2}{3}$$For an adiabatic process, $${T} {V}^{\gamma - 1}$$ = constantThus,  $$x = \gamma - 1$$Now, for a monoatomic gas,$$\gamma = 1.67$$Thus, $$x = 0.67$$Physics

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