Answer :
To find the absolute pressure, we add the gauge pressure to the atmospheric pressure. The formula is:
$$
P_{\text{abs}} = P_{\text{gauge}} + P_{\text{atm}}
$$
Given that the gauge pressure is $114\ \text{kPa}$ and the atmospheric pressure is assumed to be $100\ \text{kPa}$, we calculate:
$$
P_{\text{abs}} = 114\ \text{kPa} + 100\ \text{kPa} = 214\ \text{kPa}
$$
Thus, the absolute pressure is $214\ \text{kPa}$, which corresponds to option A.
$$
P_{\text{abs}} = P_{\text{gauge}} + P_{\text{atm}}
$$
Given that the gauge pressure is $114\ \text{kPa}$ and the atmospheric pressure is assumed to be $100\ \text{kPa}$, we calculate:
$$
P_{\text{abs}} = 114\ \text{kPa} + 100\ \text{kPa} = 214\ \text{kPa}
$$
Thus, the absolute pressure is $214\ \text{kPa}$, which corresponds to option A.