A 75.0 g sample of granite initially at 92.5oC is immersed into 60.0 g of water initially at 22.2oC. Determine the final temperature (in oC) when they reach thermal equilibrium. Assume no heat loss to the surroundings.

Specific heats: granite = 0.790 J/(goC), water = 4.184 J/goC

Answers

Answer 1

Answer:

[tex]\large \boxed{35.6 \,^{\circ}\text{C}}[/tex]

Explanation:

There are two heat transfers involved: the heat lost by the granite and the heat gained by the water.

According to the Law of Conservation of Energy, energy can neither be destroyed nor created, so the sum of these terms must be zero.

Let the granite be Component 1 and the water be Component 2.

Data:  

For the granite:

[tex]m_{1} =\text{75.0 g; }T_{i} = 92.5 ^{\circ}\text{C; }\\C_{1} = 0.790 \text{ J$^{\circ}$C$^{-1}$g$^{-1}$}[/tex]

For the water:

[tex]m_{2} =\text{60.0 g; }T_{i} = 22.2 ^{\circ}\text{C; }\\C_{2} = 4.184 \text{ J$^{\circ}$C$^{-1}$g$^{-1}$}[/tex]

Calculations

(a) The relative temperature changes

[tex]\begin{array}{rcl}\text{Heat lost by granite + heat gained by water} & = & 0\\m_{1}C_{1}\Delta T_{1} + m_{2}C_{2}\Delta T_{2} & = & 0\\\text{75.0 g}\times 0.790 \text{ J$^{\circ}$C$^{-1}$g$^{-1}$} \times\Delta T_{1} + \text{60.0 g} \times 4.184 \text{ J$^{\circ}$C$^{-1}$g$^{-1}$}\Delta \times T_{2} & = & 0\\59.25\Delta T_{1} + 251.0\Delta T_{2} & = & 0\\\end{array}[/tex]

(b) Final temperature of water

[tex]\Delta T_{1} = T_{\text{f}} - 92.5 ^{\circ}\text{C}\\\Delta T_{2} = T_{\text{f}} - 22.2 ^{\circ}\text{C}[/tex]

[tex]\begin{array}{rcl}59.25(T_{\text{f}} - 92.5 \, ^{\circ}\text{C}) + 251.0(T_{\text{f}} - 22.2 \, ^{\circ}\text{C}) & = & 0\\59.25T_{\text{f}} - 5481 \, ^{\circ}\text{C} + 251.0T_{\text{f}} - 5572 \, ^{\circ}\text{C} & = & 0\\310.2T_{\text{f}} - 11052\, ^{\circ}\text{C} & = & 0\\310.2T_{\text{f}} & = & 11052 \, ^{\circ}\text{C}\\T_{\text{f}}& = & \mathbf{35.6 \, ^{\circ}}\textbf{C}\\\end{array}\\\text{The final temperature is $\large \boxed{\mathbf{35.6 \,^{\circ}}\textbf{C}}$}[/tex]


Related Questions

The reaction, C2H6) (l) + 3)2 (g) produces 2CO2 (g) + 3H2) (g), is the combustion of ethanol. What occurs as the reaction proceeds.

Answers

Answer:

So as the reaction proceeds we lose energy as the reaction is exothermic due to the delta H being negative, this shows that heat flows from the system to its surroundings.

Explanation:

2H6O (l) + 3O2 (g) = 2CO2 (g) + 3H2O (g)

2CH3CH2OH(l) + 3O2(g) = 2CO2(g) + 3H2O(g) ΔH = -1234.8kJ/mol

I'm pretty sure this is what your equation is supposed to be, seems to be an error where you've pasted it and it's replaced the O's with )

So as the reaction proceeds we lose energy as the reaction is exothermic due to the delta H being negative, this shows that heat flows from the system to its surroundings.

Can anyone help need answer asap

Answers

Answer:

Rises, sinks

the correct answer is B

Answer:

rises, sinks

Explanation:

Hot magma rises because as the temperature increases, it expands and becomes less dense. As it reaches the top, it cools down and becomes more dense, which means it will sink. Therefore, hot magma rises and cool magma sinks in convection mantle mechanism.

all but one is a method of passve transport in cells

osmosis
sodium/potassium pump
facilitated transport​

Answers

Answer:

The answer is Osmosis........

Answer:

osmosis

Explanation:

osmosis is a method of passive transport in cells. osmosis in passive transport cells is of water

2
The ware function
of
the particle is normalized. why?​

Answers

Answer:

The probability of finding the particle somewhere in the universe must be equal to 1.

Normalization of ψ(x,t): : is the probability density for finding the particle at point x, at time t. Because the particle must be found somewhere between x=-∞ and x=+∞ the wave. function must obey the normalization condition. Without this, the statistical interpretation would be meaningless.

Identify which element this particle is and write its symbol, including charge?

1) particles: x
neutrons: 4
Protons: 3
electrons:3

2) particles: Y
Neutrons:5
Protons:4
Electrons:4

3) particles: Z
Neutrons: 6
Protons: 6
Electrons: 6

4) particles: A
Neutrons: 6
Protons: 4
Electrons: 2

Answers

Answer:

Explanation:

1. lithium=Li

2.berilium=Be

3.carbon=C

4.Lithium= Li1+

The elements with their symbols and charge are:

1. Lithium, Li, charge is 1.

2. Beryllium, Be, charge is 2+

3. Carbon, C

4. Lithium, Li, charge is 1+

What are chemical elements?

Chemical elements are the base of everything present on the Earth. These elements are present under the earth.

There are 118 elements traced and are present in either free or mixed form.

Thus, the correct options are 1. Lithium, Li, charge is 1.

2. Beryllium, Be, charge is 2+

3. Carbon, C

4. Lithium, Li, charge is 1+

Learn more about chemical elements

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One of the primary benefits of a survey is that they
A. can generate cause-and-effect conclusions
B. allow efficient gathering of unobservable phenomena
C. allow for researchers to observe one's natural behavior
D. are able to provide a detailed look at a single subject

Answers

Answer:

B).  Allow efficient gathering of unobservable phenomena.

Explanation:

Surveys are described as the method of gathering information from a specified group of respondents for purposes like research or assessment of the truth of thoughts or opinions associated with a process.

As per the question, one of the most considerable benefits of the survey is that 'it allows the efficient gathering of unobservable phenomena'. The data associated with phenomena like stated preferences, behaviors, beliefs, and factual information are unobservable and can not be collected through observation but surveys help in doing so as well as in the assessment of the validity or reliability of the existing propositions about such phenomena. Thus, option B is the correct answer.

Answer: b

Explanation:

How does a scientist answer a scientific question? A. By observing and measuring B. By asking others for their opinions C. By finding the answer in a book D. By guessing the right answer

Answers

Answer:

The answer is A

Explanation:

Because . . .

- A is correct because scientist make their statements by using their observations and tools to measure.

- B is incorrect people's opinions are not facts! Plus, opinions can be wrong.

- C is incorrect because that book can be outdated and not every answer is in a book.

- D is absolutely incorrect because guessing a "right" answer can be wrong. For example, if you were a scientist and you guessed a treatment for coronavirus, you will defiantly get fired because you don't have evidence or logic to back up your answer. In addition, if people used ur "treatment" the one you have guessed as the "right" answer, you can put people's lives in danger and they can possibly die. You will defiantly be responsible for it and be put into jail.

Answer:A

Explanation:

1.46 g H2 is allowed to react with 10.5 g N2, producing 2.72 g NH3. What is the theoretical yield in grams for this reaction under the given conditions?
Express your answer to three significant figures and include the appropriate units.

Answers

Answer : The theoretical yield in grams for this reaction under the given conditions is, 8.28 grams.

Explanation : Given,

Mass of [tex]H_2[/tex] = 1.46 g

Mass of [tex]N_2[/tex] = 10.5 g

Molar mass of [tex]H_2[/tex] = 2 g/mol

Molar mass of [tex]N_2[/tex] = 28 g/mol

First we have to calculate the moles of [tex]H_2[/tex] and [tex]N_2[/tex].

[tex]\text{Moles of }H_2=\frac{\text{Given mass }H_2}{\text{Molar mass }H_2}[/tex]

[tex]\text{Moles of }H_2=\frac{1.46g}{2g/mol}=0.73mol[/tex]

and,

[tex]\text{Moles of }N_2=\frac{\text{Given mass }N_2}{\text{Molar mass }N_2}[/tex]

[tex]\text{Moles of }N_2=\frac{10.5g}{28g/mol}=0.375mol[/tex]

Now we have to calculate the limiting and excess reagent.

The balanced chemical equation is:

[tex]3H_2+N_2\rightarrow 2NH_3[/tex]

From the balanced reaction we conclude that

As, 3 mole of [tex]H_2[/tex] react with 1 mole of [tex]N_2[/tex]

So, 0.73 moles of [tex]H_2[/tex] react with [tex]\frac{0.73}{3}=0.243[/tex] moles of [tex]N_2[/tex]

From this we conclude that, [tex]N_2[/tex] is an excess reagent because the given moles are greater than the required moles and [tex]H_2[/tex] is a limiting reagent and it limits the formation of product.

Now we have to calculate the moles of [tex]NH_3[/tex]

From the reaction, we conclude that

As, 3 mole of [tex]H_2[/tex] react to give 2 mole of [tex]NH_3[/tex]

So, 0.73 mole of [tex]H_2[/tex] react to give [tex]\frac{2}{3}\times 0.73=0.487[/tex] mole of [tex]NH_3[/tex]

Now we have to calculate the mass of [tex]NH_3[/tex]

[tex]\text{ Mass of }NH_3=\text{ Moles of }NH_3\times \text{ Molar mass of }NH_3[/tex]

Molar mass of [tex]NH_3[/tex] = 17 g/mole

[tex]\text{ Mass of }NH_3=(0.487moles)\times (17g/mole)=8.28g[/tex]

Therefore, the theoretical yield in grams for this reaction under the given conditions is, 8.28 grams.

How does water's dissolving power support life on Earth?

Answers

The dissolving power of water is very important for life on Earth. Wherever water goes, it carries dissolved chemicals, minerals, and nutrients that are used to support living things. Because of their polarity, water molecules are strongly attracted to one another, which gives water a high surface tension

Determine the overall energy change for the reaction between hydrogen and oxygen shown in Question 13. Use Figure 2.

Answers

Answer:

–500KJ

Explanation:

Data obtained from the question include the following:

Heat of reactant (Hr) = 800KJ

Heat of product (Hp) = 300KJ

Enthalphy change (ΔH) =..?

The enthalphy change is simply defined as the difference between the heat of product and the heat of reactant i.e

Enthalphy change = Heat of product – Heat of reactant

ΔH = Hp – Hr

With the above formula, we can easily calculate the enthalphy change as follow

ΔH = Hp – Hr

ΔH = 300 – 800

ΔH = –500KJ.

Therefore, the overall energy change for the reaction between hydrogen and oxygen shown in the diagram above is –500KJ

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