Answer:9.33 L
Step-by-step explanation:
If no energy is lost then heat lost by the hot water= heat gained by the cold.
This means Qhot+Qcold=0
Q (heat) = m(mass) c(specific heat) *change in temperature
m= Density* Volume
change in temp for the hot = 39-47= -8
change in temp for the cold = 39- 9= 30
this will give us
0 = (Density *35 L) ( c) (-8)+ (Density *(Volume of cold water))*(c)*(30)
we can divide everything by density and specific heat to get
0=-280+ (Volume cold)(30)
Volume cold = 280/30=9.33 L