JEE MAIN - Physics (2021 - 26th February Evening Shift - No. 10)
The internal energy (U), pressure (P) and volume (V) of an ideal gas are related as U $$=$$ 3PV + 4. The gas is :
either monoatomic or diatomic.
monoatomic only.
polyatomic only.
diatomic only.
Explanation
U = 3PV + 4
$$ \Rightarrow $$ $${{nf} \over 2}$$RT = 3PV + 4
$$ \Rightarrow $$ $${{f} \over 2}$$PV = 3PV + 4
$$ \Rightarrow $$ f = 6 + $${8 \over {PV}}$$
Since degree of freedom is more than 6 therefore gas is polyatomic.
$$ \Rightarrow $$ $${{nf} \over 2}$$RT = 3PV + 4
$$ \Rightarrow $$ $${{f} \over 2}$$PV = 3PV + 4
$$ \Rightarrow $$ f = 6 + $${8 \over {PV}}$$
Since degree of freedom is more than 6 therefore gas is polyatomic.
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