In a secret underground lab, Dr. \"Z\" recently performedan experiment in which
ID: 1675836 • Letter: I
Question
In a secret underground lab, Dr. "Z" recently performedan experiment in which heat was added to 1 mole of "substance X."During the experiment, the temperature of the sample increased fromT1 to T4, passing through T2 andT3 along the way. The graph above shows how thetemperature of the sample varied with Q, the heatabsorbed.
Over the temperature range shown, the specific heat of"substance X" is not constant. Please explain how Dr. "Z"'s datashows this, and rank the specific heats at temperaturesT1 through T4 in increasingorder.
Explanation / Answer
Since he specific heat Cp isthe amount of heat per unit mass required to raise the temperatureper degree we have Q= m Cp T Cp = m -1 Q/T permole it becomes Cp = Q/T For a constant Cp we would have a straight line such as Q(T)= Cp T + offset. In different intervals the substance x respondsdifferently to temperature T From T1 to T2 Q(T)= aT From T2 toT3 Q(T) = bT2 From T3 toT4 Q(T) = cT where Cp = dQ/dT I hope this helps. Please let me know if you have anyquestions.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.