2. A 25.0-g sample of an alloy is heated to 100.0 C and dropped into 90.0 g water at 25.32 C. The temperature of the water rises to 27.18 C. What is the specific heat of the alloy?
@abb0t
q1=-q2 now what?
Solve for \(c\)!
how?
You already have all the information for \(Q_2\), but you're missing some of the information for \(Q_1\), which is \(c\) and you know \(Q = mc \Delta T\), so...plug in the given information and solve for c!
\(Q_{water} = m_{water}c_{water}\Delta T_{water}\) \(Q_{alloy} = m_{alloy}c_{alloy}\Delta T_{alloy}\) \(Q_{water} = -Q_{alloy}\)
wait but how do I find c?
That means: \(mc\Delta T_a = -mc \Delta T_b\), NOW, USE the properties that you learned in algebra to rearraange the formula.
that means, \(divide\)...
Ta=Tb
a=-b
\(c_{water} \) is a known value. You know both masses, and you know both changes in temprature. The only unknown is \(c_{alloy}\).
\(\large c = -\frac{mc \Delta T}{m\Delta T}\)
0.092 cal/g oC @abb0t
sound's about right.
idk if ur untis are correct tho..
|dw:1376678006456:dw|
Join our real-time social learning platform and learn together with your friends!