Question

If you combine 280.0 mL of water at 25.00 °C and 140.0 mL of water at 95.00 °C, what is the final temperature of the mixture? Use 1.00 g/mL as the density of water.

Answer: _____celsius

Answer 1

If you combine 280.0 mL of water at 25.00 °C and 140.0 mL of water at 95.00 °C, what is the final temperature of the mixture? Use 1.00 g/mL as the density of water.

for adiabatic system, heat lost by hot water= heat gained by cold water.

Let t= temperature at equilibrium

mass of hot water* specific heat of hot water* (95-t)= mass of cold water* specific heat of cold water*(t-25)

assuming specific heat of water to be same

mass of hot water*(95-t)= mass of cold water*(t-25)

Volume* density*(95-t)= volume* density*(t-25)

140*1(95-t)= 280*1*(t-25)

140*95-140t= 280t-280*25

140*95+280*25= 420t

t=48.33 deg.c