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P-V graph for an ideal gas undergoing po...

P-V graph for an ideal gas undergoing polytropic process `PV^(m) = constant` is shown here. Find the value of m.

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Verified by Experts

The correct Answer is:
`1.5`
Slope = `-(gammaP)/(V) = -"tan"37^(@) implies (mP)/(V) = "tan"37^(@)`
`implies m = ((V)/(P))((3)/(4)) = ((4 xx 10^(5))/(2 xx 10^(5)))((3)/(4)) = (3)/(2)= 1.5`
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ALLEN-GEOMETRICAL OPTICS-EXERCISE - 04 (A)
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  2. The pressure in monoatomic gas increases linearly from =4xx10^(5) Nm^...

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  3. On mole of a monoatomic ideal gas is taken through the cycle shown in ...

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  4. At 27^(@)C two moles of an ideal monoatomic gas occupy a volume V. The...

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  5. Three moles of an ideal gas at a pressure P(A) and temperature T(A) i...

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  6. An ideal gas having initial pressure p, volume V and temperature T is ...

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  7. Two moles of a gas (gamma=5//3) are initially at temperature 27^@C and...

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  8. An ideal gas has a molar heat capacity at constant pressure of Cp = 2....

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  9. Calculate the work done when one mole of a perfect gas is compressed a...

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  10. A gaseous mixture enclosed in a vessel of volume V consists of one mol...

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  11. An ideal gas is taken through a cyclic thermodynamic process through f...

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  12. A gas has molar heat capacity C=37.55 J mole^(-1)K^(-1), in the proces...

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  13. One mole of monoatomic ideal gas undergoes a process ABC as shown in f...

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  14. An ideal monoatomic gas occupies volume 10^(-3)m^(3) at temperature 3K...

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  15. P-V graph for an ideal gas undergoing polytropic process PV^(m) = cons...

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  16. One mole of an ideal gas is heated isobarically from the freezing poin...

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  17. A vertical cylinder of cross-sectional area 0.1m^(2) closed at both en...

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  18. There is soap bubble of radius 2.4xx10^(-4)m in air cylinder which is ...

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  19. An ideal gas at NTP is enclosed in an adiabatic vertical cylinder havi...

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  20. There are two layers of water in a calorimeter, the lower one colder a...

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