Question

An insulated beaker with negligible mass contains liquid water with a mass of 0.290 kg and...

An insulated beaker with negligible mass contains liquid water with a mass of 0.290 kg and a temperature of 72.4 degrees C.
How much ice at a temperature of -11.2 degrees C must be dropped into the water so that the final temperature of the system will be at 33.0 degrees C?
Take the specific heat of liquid water to be at 4190 J/kg • K, the specific heat of ice to be 2100 J/kg • K, and the heat of fusion for water to be 3.34x10^5 J/kg

Homework Answers

Answer #1

Solution-

Let M be the unknown mass of ice.

So;
Q(heat energy)=(mass)(specific heat)(delta T)

Amount of heat that is lost by the 0.290 kg of water in the beaker to the ice can be calculated as
Q(beaker liquid) = (0.290)x(4190)x(72.4-33) = 47874.94 joules

Now the amount of heat gained by the ice will be:
Therefore Q(ice) + Q(fusion) + Q(liquid) of the unknown mass M
Q(ice)=Mx2100x(0-(-11.2))=(23520)M
Q(fusion)=Mx3.34x10^5=(3.34x10^5)M
Q(liquid)=Mx4190x(33-0)=(138270)M

Now the heat lost by beaker liquid = Heat gained by ice when equilibrium is reached.
47874.94 = (23520)M + (3.34x10^5)M + (138270)M
42612.3 = (23520 + 3.34x10^5 + 138270)M
42612.3 = (495790)M
42612.3/495790 = M
M=0.086 kg

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An insulated beaker with negligible mass contains liquid water with a mass of 0.200 kg and...
An insulated beaker with negligible mass contains liquid water with a mass of 0.200 kg and a temperature of 76.0 ?C . How much ice at a temperature of -20.4 ?C must be dropped into the water so that the final temperature of the system will be 33.0 ?C ? Take the specific heat of liquid water to be 4190 J/kg?K , the specific heat of ice to be 2100 J/kg?K , and the heat of fusion for water to...
An insulated beaker with negligible mass contains liquid water with a mass of 0.225 kg and...
An insulated beaker with negligible mass contains liquid water with a mass of 0.225 kg and a temperature of 68.8 ∘C . Take the specific heat of liquid water to be 4190 J/kg⋅K , the specific heat of ice to be 2100 J/kg⋅K , and the heat of fusion for water to be 3.34×105 J/kg . How much ice at a temperature of -15.3 ∘C∘C must be dropped into the water so that the final temperature of the system will...
An insulated beaker with negligible mass contains liquid water with a mass of 0.345 kg and...
An insulated beaker with negligible mass contains liquid water with a mass of 0.345 kg and a temperature of 76.5 ∘C . How much ice at a temperature of -19.9 ∘C must be dropped into the water so that the final temperature of the system will be 27.0 ∘C ? Take the specific heat of liquid water to be 4190 J/kg⋅K , the specific heat of ice to be 2100 J/kg⋅K , and the heat of fusion for water to...
An insulated beaker with negligible mass contains liquid water with a mass of 0.235 kg and...
An insulated beaker with negligible mass contains liquid water with a mass of 0.235 kg and a temperature of 68.6 ∘C . How much ice at a temperature of -20.0 ∘C must be dropped into the water so that the final temperature of the system will be 25.0 ∘C ? Take the specific heat of liquid water to be 4190 J/kg⋅K , the specific heat of ice to be 2100 J/kg⋅K , and the heat of fusion for water to...
An insulated beaker with negligible mass contains liquid water with a mass of 0.235 kg and...
An insulated beaker with negligible mass contains liquid water with a mass of 0.235 kg and a temperature of 66.5 ∘C . How much ice at a temperature of -18.4 ∘C must be dropped into the water so that the final temperature of the system will be 20.0 ∘C ? Take the specific heat of liquid water to be 4190 J/kg⋅K , the specific heat of ice to be 2100 J/kg⋅K , and the heat of fusion for water to...
An insulated beaker with negligible mass contains liquid water with a mass of 0.310 kg and...
An insulated beaker with negligible mass contains liquid water with a mass of 0.310 kg and a temperature of 74.1 ?C . How much ice at a temperature of -10.2 ?C must be dropped into the water so that the final temperature of the system will be 37.0 ?C ? Take the specific heat of liquid water to be 4190 J/kg?K , the specific heat of ice to be 2100 J/kg?K , and the heat of fusion for water to...
An insulated beaker with negligible mass contains liquid water with a mass of 0.270 kg and...
An insulated beaker with negligible mass contains liquid water with a mass of 0.270 kg and a temperature of 78.7 ?C . How much ice at a temperature of -14.0 ?C must be dropped into the water so that the final temperature of the system will be 40.0 ?C ? Take the specific heat of liquid water to be 4190 J/kg?K , the specific heat of ice to be 2100 J/kg?K , and the heat of fusion for water to...
An insulated beaker with negligible mass contains liquid water with a mass of 0.230 kg and...
An insulated beaker with negligible mass contains liquid water with a mass of 0.230 kg and a temperature of 66.4 ∘C . a)How much ice at a temperature of -23.3 ∘C must be dropped into the water so that the final temperature of the system will be 23.0 ∘C ? Take the specific heat of liquid water to be 4190 J/kg⋅K , the specific heat of ice to be 2100 J/kg⋅K , and the heat of fusion for water to...
An insulated beaker with negligible mass contains liquid water with a mass of 0.350 kg and...
An insulated beaker with negligible mass contains liquid water with a mass of 0.350 kg and a temperature of 70.9 ∘C . How much ice at a temperature of -23.4 ∘C must be dropped into the water so that the final temperature of the system will be 35.0 ∘C ? Take the specific heat of liquid water to be 4190 J/kg⋅K , the specific heat of ice to be 2100 J/kg⋅K , and the heat of fusion for water to...
An insulated beaker with negligible mass contains liquid water with a mass of 0.285 kg and...
An insulated beaker with negligible mass contains liquid water with a mass of 0.285 kg and a temperature of 81.6 ∘C . How much ice at a temperature of -23.6 ∘C must be dropped into the water so that the final temperature of the system will be 40.0 ∘C ? Take the specific heat of liquid water to be 4190 J/kg⋅K , the specific heat of ice to be 2100 J/kg⋅K , and the heat of fusion for water to...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT