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Which value does the ratio of specific heats take for dry air?

  • A.About 0.286, which is instead the ratio of the specific gas constant to the specific heat at constant pressure
  • B.About 2.5
  • C.About 0.622, which is the ratio of the molecular masses of water vapour and of dry air at any temperature
  • D.About 1.4

Answer: D

The ratio \( \gamma = c_p/c_v \) equals 1005 divided by 718, or about 1.4, which is the value expected for a gas of diatomic molecules with five active degrees of freedom. The other values listed are kappa and epsilon, both of which appear frequently in the same formulae and are easily confused with gamma. Tracing each back to its definition prevents the confusion. Checking the units of each quantity catches a wrong formula before the arithmetic begins.

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