Question

 Let X be the energy needed to raise the temperature of 5 moles of nitrogen held at constant pressure by one degree. Let Y be the energy needed to raise 5 moles of carbon monoxide by one degree with the pressure held constant. What is the ratio X:Y?

Answer 1

Let us assume the ideal gas situation.

 $N_2,\ and\ CO\ are\ diatomic\ gases.\ \ \gamma = 7/5 \\ Molar\ specific\ heat\ capacity\ = C_p\ = 7R/2 = 29 JK^{-1}mol^{-1}$

$X = n C_p \Delta\ T = 5 moles * 29 JK^{-1}mol^{-1} * 1 degK = 145 J \\ \\ Y = n C_p \Delta\ T = 5 moles * 29 JK^{-1}mol^{-1} * 1 degK = 145 J \\ \\ Ratio\ X : Y = 1$