Homework Help: physics

Posted by anthony on Wednesday, April 11, 2012 at 2:05am.

A 40-g block of ice is cooled to
−71°C
and is then added to 590 g of water in an 80-g copper calorimeter at a temperature of 27°C. Determine the final temperature of the system consisting of the ice, water, and calorimeter. (If not all the ice melts, determine how much ice is left.) Remember that the ice must first warm to 0°C, melt, and then continue warming as water. (The specific heat of ice is 0.500 cal/g · °C = 2,090 J/kg · °C.)
Tf = ? (°C)
mass of ice final (g)

physics - tanmay bhoite, Wednesday, April 11, 2012 at 2:36am
0 degree celcius because all the ice has not melted or 4 degree celcius.
physics - Elena, Wednesday, April 11, 2012 at 5:25pm
For the ice to reach 0 degrees, you will need Q = c• m• ΔT 0.04• 2090 • 71 = 5935,6 J
The latent heat needed to melt the ice is 334 000 J / kg.
So to melt the ice, you will need 334 000 • 0.040 = 13360 J
Assume final temperature = x degC
Specific heat of water is 4180 J / k g degC.
So heat applied to ice will be 0.04• 4180• x = 1672 x

Total heat energy applied = 5935,6 + 13360 + 167,2x

Heat from water =0.590 • 4180 • (27-x) = 2466.2• (27-x)

Specific heat of copper is 385 J / kg degC.

Heat from copper = 0.08• 385 • (27-x) = 30.8• (27-x)
Heat gained = heat loss
5935,6 + 13360+167.2 x =2466.2(27-x) +30.8• (27-x)
19296 +167.2 x = 2466.2• (27-x) +30.8• (27-x)
x =8.53
So final temperature is 8.53 degC.

Answer this Question

Related Questions

physics - A 40-g block of ice is cooled to −71°C and is then added...
physics - A 40-kg block of ice at 0°C is sliding on a horizontal surface. ...
Physics B - A 40-kg block of ice at 0°C is sliding on a horizontal surface. ...
physics - A rectangular block of ice 10 m on each side and 1.1 m thick floats in...
Physics - A 6-g ice cube at −8°C is dropped into 70 g of water at ...
physics - A rectangular block of ice 8 m on each side and 1.5 m thick floats in ...
physics - A 1.3- block of ice is initially at a temperature of -3.5. If 6.6&...
chemistry - An ice cube with a mass of 40.0 g melts in water originally at 25.0 ...
physics - A rectangular block of ice 10 m on each side and 1.1 m thick floats in...
math - If i place a dish of ice outside in the sun, The ice has a mass of 0.59 ...

For Further Reading

First Name:
School Subject:
Answer: