The specific heat at constant pressure for a certain ideal gas is given by a function $c_p(T).$ For a certain ideal gas, the function is $c_p=1+(2\mathrm{.}710)T(k\frac{J}{k}g-K)$ where $T$ is in Kelvin. The change in enthalpy for this ideal gas undergoing a process in which the temperature changes from $27$ to ${127}^{\text{@}\text{'}}C$ is most nearly:

$72\mathrm{.}1k\frac{J}{k}g$

$79\mathrm{.}5k\frac{J}{k}g$

$102\mathrm{.}0k\frac{J}{k}g$

$109\mathrm{.}5k\frac{J}{k}g$

$139\mathrm{.}5k\frac{J}{k}g$