Question

Given a certain substance with a mass of 25 grams and an initial temperature of 25°C, if it absorbs 500 joules of heat energy, what is the final temperature of the substance? The heat capacity of the substance is 0.5 J/g·°C.

Answer 1

To find the final temperature of the substance, we can use the formula:q = mcTwhere q is the heat energy absorbed  500 J , m is the mass of the substance  25 g , c is the heat capacity  0.5 J/gC , and T is the change in temperature.First, we need to find the change in temperature  T :500 J =  25 g  0.5 J/gC  T Now, we can solve for T:T = 500 J /  25 g * 0.5 J/gC  = 500 J / 12.5 J/C = 40CSo, the change in temperature is 40C. Since the initial temperature was 25C, the final temperature will be:Final temperature = Initial temperature + T = 25C + 40C = 65CThe final temperature of the substance is 65C.