Question
Need help answering the question in "check your understanding"
Rearranging gives the Your From the original problem statement, we can see that of the very all ST for heat water hot water change m that the implies that the gold ll, Next, sider sam y 40 times larger than that for gold, and the temperature capacity for water is change for gold is almost 80 times greater than for These two observations our ines that the gold sample should be ose to half the size of the water sample, and ted result confirms Check Your Understanding A 12s.g sam of cold water and a 283-g sample of thi e and allowed to equ an insulated thermos bot tial temperature of the cald water is 3.0 C, and the initial temperature of the hot be the final These evamples provide a means to calculate heat flow or related information. Bur we have yet to see how we can actually make laboratory measurements of heat flow. Calorimetry Caloninern is the term used to describe the measurement of heat flow. Experiments are carried out in devices called calwimetery that are based on the concept established in Example Problem 9.4. The heat evalved or absorbed by the system of interest is determined by measuring the temperature change in its surroundings. Every effort is made to isolate the calorimeter thermally, preventing heat flow between the immedi ate surroundings and the rest of the universe. Figure 9.6 shows a typical calorimeter. If the instrument is thermally isolated from the rest of the universe, the only heat flow Thermometer Stirrer
Explanation / Answer
Solution:- The formula used for heat calculations in calorimetery is, q = m c delta T
where q is the heat, m is mass, c is specific heat and delta T is change in temperature.
we are adding cold water and hot water so the heat would be flowing from hot water to cold water. Hot water would loose heat and cold water would gain the heat.
heat given = - heat taken
we would use this concept and solve it. Let's say the final temperature is T degree C.
283 x c x (T - 91.0) = - [125 x c x (T - 3.0)]
since we have water on both sides so the specific heat, c could be canceled out.
283 x (T - 91.0) = - [125 x (T - 3.0)]
283T - 25753 = -125T + 375
283T + 125T = 375 + 25753
408T = 26128
T = 26128/408 = 64.0
So, the final temperature would be 64.0 degree C.
