Solution to 1986 Problem 14

(A) This answer is correct.

(B) This statement implies that C_p = C_v, which is well-known to be not true (and it clearly contradicts the problem statement).

(C) This answer is not true, as one can easily show from the ideal gas law (PV = nRT). The temperature can remain constant while the pressure and the volume change.

(D) This answer is somewhat ambiguous because of the words ``increase in the gas's internal energy." Assuming this means ``increase in the gas's internal energy as the temperature is increased by one degree Kelvin," then the statement is clearly incorrect. The increase in the gases internal energy per degree Kelvin is exactly the same for constant pressure processes and constant volume processes. The equation
\begin{align*}3/2 n R T = U\end{align*}
always holds for an ideal gas.

(E) The words ``heat needed" here are somewhat ambiguous. ``Heat needed to do what?" is the obvious question
If it means that ``heat needed to increase the temperature by one degree Kelvin," then this answer implies that C_v > C_p when in fact it is C_p that is greater than C_v as it says in the problem statement.

return to the 1986 problem list

return to homepage

Please send questions or comments to where X = physgre.