When 1 mole of CO2(g) occupying volume 10 L at 27°C is expanded under adiabatic condition, temperature falls to 150 K. Hence, final volume is

Question

When 1 mole of CO2(g) occupying volume 10 L at 27°C is expanded under adiabatic condition, temperature falls to 150 K. Hence, final volume is (A) 5 L (B) 20 L (C) 40 L (D) 80 L

Tardigrade Admin · Accepted Answer

For adiabatic expansion (T2/T1)=((V1/V2))&gamma;-1 Here, for CO 2 (triatomic gas), &gamma;=1.33 ∴ ((150/300))=((10/V2))0.33 or ((1/2))=((10/V2))0.33 or ((1/2))3=(10/V2) or (1/8)=(10/V2) or V2=80 L

Q. When $1$ mole of $C O_{2 (g)}$ occupying volume $10 L$ at $2 7^{\circ} C$ is expanded under adiabatic condition, temperature falls to $150 K$ . Hence, final volume is

$5 L$

$20 L$

$40 L$

$80 L$

Q. When 1 mole of CO2(g)​ occupying volume 10L at 27∘C is expanded under adiabatic condition, temperature falls to 150K. Hence, final volume is

5L

20L

40L

80L

For adiabatic expansion T1​T2​​=(V2​V1​​)γ−1 Here, for CO2​ (triatomic gas), γ=1.33 ∴(300150​)=(V2​10​)0.33 or (21​)=(V2​10​)0.33 or (21​)3=V2​10​ or 81​=V2​10​ or V2​=80L

Q. When $1$ mole of $C O_{2 (g)}$ occupying volume $10 L$ at $2 7^{\circ} C$ is expanded under adiabatic condition, temperature falls to $150 K$ . Hence, final volume is

$5 L$

$20 L$

$40 L$

$80 L$