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An ideal gas (Cp / Cv = gamma) is taken ...

An ideal gas `(C_p / C_v = gamma)` is taken through a process in which the pressure and volume vary as `(p = aV^(b)`. Find the value of b for which the specific heat capacity in the process is zero.

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`(C_p/C_v) = gamma` , `C_p-C_v=R`, `C_v=C_p=0`
`pdv = (1)/((b+1))(Rdt)`
implies `0=(b+1)C_vdT+(RdT)`
implies ` (1)/((b+1)) = (-C_v)/R`
implies `b+1= (-R)/(C_v) =(-(C_p-C_v))/(C_v)`
= `-gamma +1`
implies ` b = -gamma`
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HC VERMA-SPECIFIC HEAT CAPACITIES OF GASES-Exercises
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  2. An ideal gas is taken through a process in which the pressure and the ...

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  3. An ideal gas (Cp / Cv = gamma) is taken through a process in which the...

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  4. Two ideal gases have same value of (Cp / Cv = gamma). What will be the...

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  5. A mixture contains 1 mole of helium (cp = 2.5 R, Cv 1.5 R. ) and 1mol...

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  6. Half mole of an ideal gas (gamma = 5/3) is taken through the cycle abc...

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  7. An ideal gas (gamma = 1.67 ) is taken through the process abc shown in...

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  8. In Joly's differential steam calorimeter, 3g of an ideal gas is cconta...

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  9. The volume of an ideal gas (gamma 1.5 ) is changed adiabatically from ...

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  10. An ideal gas at pressure 2.5 xx 10^(5) pa and temperture 300k occupies...

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  11. Air (gamma = 1.4 ) is pumped at 20atm pressure in a motor tyre at 20^@...

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  12. A gas is enclosed in a cylindrical can fitted with a piston. The walls...

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  13. The initial pressure and volume of a given mass of a gas (Cp / Cv = ga...

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  14. Conider a given sample of an ideal gas (Cp / Cv = gamma ) having initi...

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  15. A given sample of an ideal gas (gamma = 1.5 ) is compressed adiabatica...

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  16. Three samples A, B and C of the same gas (gamma = 1.5) have equal volu...

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  17. Two samples A and B of the same gas have equal volumes and pressures ....

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  18. 1 liter of an ideal gas (gamma =1.5) at 300k is suddenly compressed to...

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  19. Figure shows a cylindridcal tube with a adibatic walls and fitted with...

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  20. Figure shows two rigid vessels A and B, each of volume 200 cm ^(3) con...

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