Question

a 2,250-gallon hot tub is at a temperature of 36°c. then, the hot tub’s thermal energy increases. assume its mass does not change. which is a possible new temperature for the hot tub? 27°c 39°c submit

Explanation:

Step1: Recall thermal energy and temperature relation

Thermal energy increase (with constant mass) means temperature should increase (since \( Q = mc\Delta T \), \( \Delta T>0 \) for \( Q>0 \), constant \( m,c \)).

Step2: Compare temperatures

Original temp: \( 36^\circ\text{C} \). \( 27^\circ\text{C} < 36^\circ\text{C} \) (decrease), \( 39^\circ\text{C} > 36^\circ\text{C} \) (increase).

Answer:

39°C