Three samples of the same gas A,B and $C (γ = 3 / 2)$ have initially equal volume. Now the volume of each sample is doubled. The process is adiabatic for A, isobaric for B and isothermal for C. If the final pressures are equal for all three samples, the ratio of their initial pressures are:

Option 1 -

$2 \sqrt[]{2} : 2 : 1$

Option 2 -

$2 \sqrt[]{2} : 1 : 2$

Option 3 -

$\sqrt[]{2} : 1 : 2$

Option 4 -

$2 : 1 : \sqrt[]{2}$

2 Views | Posted 3 weeks ago

Asked by Shiksha User

1 Answer

Answered by

Raj Pandey | Contributor-Level 9

3 weeks ago

Correct Option - 2

Detailed Solution:

For gas $A : P_{A} ($ $_{}$ initial $) = {(\frac{v_{f}}{v_{i}})}^{γ} P = (2)^{3 / 2} P$ ${(\frac{_{}}{_{}})}^{}^{}$

$P_{A} = 2 \sqrt[]{2} P$

For gas B: $P_{B} ($ $_{}$ initial $) = P$

For gas $C : P_{C} ($ initial $) = \frac{2 V_{0}}{V_{0}} P = 2 P ∴$ Ratio $= 2 \sqrt[]{2} : 1 : 2$

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Three samples of the same gas A,B and $C (γ = 3 / 2)$ have initially equal volume. Now the volume of each sample is doubled. The process is adiabatic for A, isobaric for B and isothermal for C. If the final pressures are equal for all three samples, the ratio of their initial pressures are:

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Three samples of the same gas A,B and C ( γ = 3 / 2 ) have initially equal volume. Now the volume of each sample is doubled. The process is adiabatic for A, isobaric for B and isothermal for C. If the final pressures are equal for all three samples, the ratio of their initial pressures are:

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Three samples of the same gas A,B and $C (γ = 3 / 2)$ have initially equal volume. Now the volume of each sample is doubled. The process is adiabatic for A, isobaric for B and isothermal for C. If the final pressures are equal for all three samples, the ratio of their initial pressures are: