InterviewSolution
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InterviewSolution
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During an experiment, an ideal gas is found to obey a condition `(p^2)/(rho) = "constant"`. (`rho` = density of the gas). The gas is initially at temperature (T), pressure (p) and density `rho`. The gas expands such that density changes to `rho//2`.A. The pressure of the gas changes to `sqrt2P`B. The temperature of the gas changes to `sqrt2T`.C. The graph of the above process on the `P-T` diagram is parabola.D. The graph of the above process on the `P-T` diagram is hyperbola. |
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Answer» Correct Answer - B::D `(P^(2))/(rho)` = constant ` P = p(RT)/(M)` (Ideal gas equation) `implies (p_(2))/(rho) = (P)/(rho)((rhoRT)/(M)) = PT(R)/(M)` = constant `therefore` The graph of the above process on the `P-T` diagram is hyperbola. For the above process `((P_(2))/(rho))_(1) = ((P^(2))/(rho))_(2) implies (P_(2))/(rho) = (P_(2)^(2))/(rho//2) implies P_(2) = (P)/(sqrt(2)) .... (i)` and `P_(1)T_(1) = P_(2)T_(2) implies PT = (P)/(sqrt(2)) T_(2) implies T_(2) = sqrt(2) T .... (ii)` |
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