Discussion
Which relationship connects the two specific heats?
Answer: A
For an ideal gas \( c_p - c_v = R \), which follows from the definition of enthalpy together with the equation of state. With 1005 and 718 for dry air the difference is exactly 287. This identity is worth carrying because it lets any one of the three constants be recovered when memory fails, and it also explains physically why heating at constant pressure requires more energy. Checking the units of each quantity catches a wrong formula before the arithmetic begins.
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