Question

two pots with different amounts of water are heated by identical flames for several minutes. which one has the highest temperature? pot a pot b they have the same temperature.

Explanation:

The heat transferred ($Q$) from identical flames in the same time is equal ($Q_A = Q_B$). The formula for heat transfer is $Q = mc\Delta T$, where $m$ is mass (amount of water), $c$ is specific heat (same for water), and $\Delta T$ is temperature change. Pot A has less water ($m_A < m_B$). Rearranging, $\Delta T=\frac{Q}{mc}$. Since $Q$ and $c$ are equal, smaller $m$ gives larger $\Delta T$. But wait, actually, if heated for the same time with same flame, the temperature rise depends on mass. However, if we assume they start at same initial temp, but wait, no—wait, the key is: Wait, no, maybe I messed up. Wait, the question is about final temperature. Wait, no, actually, when heating with identical flames (same power, so same heat input per unit time) for same time, $Q$ is same. $Q = mc\Delta T$. So $\Delta T = Q/(mc)$. Since $m_A < m_B$, $\Delta T_A > \Delta T_B$. But wait, do we know initial temperature? The problem doesn't state, but maybe it's assumed they start at same temp. Wait, but the options include "same temperature"—no, that can't be. Wait, no, maybe I made a mistake. Wait, no, the specific heat of water is same, so for same heat input, less mass (Pot A) will have higher temperature rise. But wait, the problem is: are they heated until boiling? No, it's "for several minutes". Wait, maybe the pots are identical (same material, same initial temp), flames identical, time same. So $Q$ is same. $m_A < m_B$. So $\Delta T_A = Q/(m_A c)$, $\Delta T_B = Q/(m_B c)$. Since $m_A < m_B$, $\Delta T_A > \Delta T_B$. So if initial temp $T_0$ is same, final temp $T = T_0 + \Delta T$. So $T_A > T_B$. Wait, but the options have "Pot A", "Pot B", "same". Wait, maybe the diagram shows Pot A has less water (shorter height) than Pot B (taller). So Pot A has less mass. So with same Q, less mass means higher temperature. So Pot A has higher temperature.

Answer:

A. Pot A