Chemistry, 17.09.2019 02:00 ktown9

An 8.5g ice cube is placed into 255g of water. calculate the temperature change in the water upon the complete melting of the ice. assume the all of the energy required to melt the ice comes from the water.

Answers: 1

Show answers

Answers

Answer from: jaylaa04

The temperature change in water upon the complete melting of 8.5 g of ice that is placed in 255 g of water is $\boxed{2.66{\text{ }}^\circ {\text{C}}}$ .

Further explanation:

Latent heat of fusion:

When substance changes from solid state to liquid state, the amount of heat absorbed in this process without change in its temperature is calledlatent heat of fusion.

The expression for absorbed heat from the latent heat of fusion is as follows:

${\text{q}} = {\text{n}}{{\text{H}}_{\text{f}}}$ …… (1)

Here,

q is heat absorbed.

n is number of moles of substance.

${{\text{H}}_{\text{f}}}$ is latent heat of fusion.

The moles of water can be calculated by following formula:

${\text{Moles of water}} = \dfrac{{{\text{Mass of water}}}}{{{\text{Molar mass of water}}}}$ …… (2)

Substitute 8.5 g for mass of water and 18.0152 g/mol for molar mass of water in equation (2).

$\begin{aligned} {\text{Moles of water}} &= \left( {\frac{{{\text{8}}{\text{.5 g}}}}{{{\text{18}}{\text{.0152 g/mol}}}}} \right) \\ &= 0.4718{\text{ mol}} \\ \end{aligned}$

Substitute 0.4178 mol for n and 6.02 kJ/mol for ${{\text{H}}_{\text{f}}}$ in equation (1) to calculate heat absorbed by ice.

$\begin{aligned} {\text{q}} &= \left( {{\text{0}}{\text{.4718 mol}}} \right)\left( {\frac{{{\text{6}}{\text{.02}}\;{\text{kJ}}}}{{{\text{1 mol}}}}} \right)\left( {\frac{{{{10}^3}{\text{ J}}}}{{1{\text{ kJ}}}}} \right) \\ & = 2.84 \times {10^3}{\text{ J}} \\ \end{aligned}$

Hence heat supplied by water for melting of ice becomes $- 2.84 \times {10^3}{\text{ J}}$ .

The formula to calculate the heat energy of the solution is as follows:

${\text{q}} = \text{mc}\Delta T}}$ …… (3)

Where,

q is amount of heat transferred.

m is mass of the solution.

c is specific heat.

${{\Delta T}}$ is change in temperature.

Rearrange equation (3) to calculate .

${{\Delta T}} = \frac{{\text{q}}}{{{\text{mc}}}}$ …… (4)

Substitute 255 g for m, $- 2.84 \times {10^3}{\text{ J}}$ for q and $4.18\;{\text{J/g}}\;{\text{^\circ C}}$ for c in equation (4).

$\begin{aligned} {t{\Delta T}} &= \dfrac{{ - 2.84 \times {{10}^3}{\text{ J}}}}{{\left( {255{\text{ g}}} \right)\left( {4.186{\text{ J/g }}^\circ {\text{C}}} \right)}} \\ &= - 2.66{\text{ }}^\circ {\text{C}} \\ \end{aligned}$

Learn more:

The difference between heat and temperature: Determine the process by which water enters into the atmosphere:

Answer details:

Grade: Senior School

Subject: Chemistry

Chapter: Thermodynamics

Keywords: latent heat of fusion, q, Hf, 6.02 kJ/mol, 255 g, water, moles of water, molar mass of water, 18.0152 g/mol, 8.55 g.

Answer from: Quest

The answer is b carbon-14. the radioactive isotope of carbon used in carbon dating has a half-life of 5730 years. potassium-40 is used to date 1.25 billion years

Answer from: Quest

explanation: no but i do not usually comment

Another question on Chemistry

Chemistry, 22.06.2019 08:00

This classification of drug typically changes the brain's chemistry and reduces its ability to create its own endorphins.

Answers: 1

Answer

Chemistry, 22.06.2019 11:00

Ais a mountain created from eruptions of lava, ash, rocks, and hot gases.

Answers: 1

Answer

Chemistry, 22.06.2019 18:30

When the chemicals iron sulfide (fes) and hydrochloric acid (hcl) are combined, bubbles appear from the mixture. 1. does the appearance of bubbles indicate a physical or chemical change? 2. why do the bubbles indicate this change? 3. what property is this?

Answers: 1

Answer

Chemistry, 22.06.2019 19:30

Astring vibrates with a frequency of 10 hz. why can't a person hear the sound waves produced by the vibrating string, no matter how large the amplitude of the waves? out! this is homework and due tomorrow! you so much!

Answers: 2

Answer

You know the right answer?

An 8.5g ice cube is placed into 255g of water. calculate the temperature change in the water upon th...

Questions