When a sample of ideal gas is changed from an initial state to a final state, various curves can be plotted for the process like P-V curve, V-T curve,

Question

When a sample of ideal gas is changed from an initial state to a final state, various curves can be plotted for the process like P-V curve, V-T curve,

When a sample of ideal gas is changed from an initial state to a final state, various curves can be plotted for the process like P-V curve, V-T curve,P-T curve etc.
For example, P-V curve for a fixed amount of an ideal gas at constant temperature is a rectangular hyperbola, V-T curve for a fixed amount of an ideal gas at constant volume is again a straight line. However, the shapes may vary if the constant parameters are also changed.
Now, answer the following questions :
Two moles of an ideal gas is changed from its initial state (16 atm, 6L) to final state (4 atm, 15L) in such a way that this change can be represented by a straight line in P-V curve.The maximum temperature attained by the gas during the above change is :(Take : `R=1/12L atm K^(-1) "mol"^(-1)`)
A. 324 K
B. 648 K
C. 1296 K
D. 972 K

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - B
Equation of staight line
`(y-y_1)=((y_2-y_1)/(x_2-x_1))(x-x_1) " " :. (P-16)=((4-16)/(15-6))(V-6)`
`:. 3P+4V=72 implies T_("max")=((PV)_(max))/(nR)`
For `(PV)_(max)((PV)_(max)).3P=72/2` and `4V=72/2 :. P=12,V=9 " " T_(max)=(12xx9)/(1xx(1//12))=648 K`

4 views Answered 2023-02-05 15:29