Question

Adding Ice to Water

An insulated beaker with negligible mass contains liquid water with a mass of 0.340 kg and a temperature of 66.3 ∘C .

How much ice at a temperature of -17.9 ∘C must be dropped into the water so that the final temperature of the system will be 22.0 ∘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 be 3.34×10^{5} J/kg .

Answer #1

Heat energy gained by ice is equal to heat enrgy lost by
water.

Heat energy gained by ice is sum of energy required to

1) increase it's tempreture from - 17.9 ^{o}C to 0
^{o}C = MC(delta T) = M(2100) ( 0 - (- 17.9) ) = 37590 M (M
is mass of ice and C is specific heat of ice)

2) melt it = ML = M (3.34x10^{5}) L is latent heat of
fusion.

3) increase it's tempreture from 0 to 22^{o}C = MC(delta T)
= M (4190) (22) = 92180 M

Total heat energy gained 463770 M

Heat energy lost by water = MC(delta T) = 0.34(4190) ( 66.3-22)
= 63109.78 (M is mass of water and C is specific heat of
water)Equating energy lost by water to that gained by ice , we
get

63109.78 = 463770M

M = 0.136 kg

An insulated beaker with negligible mass contains liquid water
with a mass of 0.305 kg and a temperature of 73.5 ∘C . Part A How
much ice at a temperature of -22.0 ∘C must be dropped into the
water so that the final temperature of the system will be 34.0 ∘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...

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 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 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 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 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 0.200 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 0.270 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 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 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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 29 minutes ago

asked 30 minutes ago

asked 32 minutes ago

asked 34 minutes ago

asked 53 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago