Respuesta :
Answer:
the final temperature T final = 83.863 °C
Explanation:
Assuming that no heat is absorbed from the container , then all the heat absorbed by the water Q water comes from the heat released by the quartz (-Q quatz), since
Q water + Q quatz = Q surroundings =0
denoting w as water and q as quartz then
Q water = mw * cpw * (Tfinal - T initial w)
Q quartz = mq * cpq * (Tfinal - T initial q)
where
m= mass
cp= specific heat capacity at constant pressure
T final = final temperature
T initial w and T initial q = initial temperature of water and quartz respectively
then
mw * cpw * (Tfinal - T initial w) + mq * cpq * (Tfinal - T initial q) = 0
mw * cpw * Tfinal + mq * cpq * Tfinal = mw * cpw *T initial w + mq * cpq * T initial q
Tfinal = (mw * cpw *T initial w+ mq * cpq * T initial q)/(mw * cpw +mq * cpq)
replacing values and assuming cpw= 1 cal/gr°C = 4.186 J/g°C
Tfinal = (200 g * 4.186 J/g°C * 85 °C + 17g * 0.730 J/g°C * 7.2 °C)/(200 g * 4.186 J/g°C + 17g * 0.730 J/g°C) = 83.863 °C
Tfinal = 83.863 °C
