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iren [92.7K]
2 years ago
7

ANSWER ASAP! WILL GIVE BRAINLIEST! A pan containing 20.0 grams of water was allowed to cook from a temperature of 95.0 degrees C

elsius. If the amount of heat released is 1,200 joules, what is the approximate final temperature of the water?
A. 75 degrees Celsius

B. 78 degrees Celsius

C. 81 degrees Celsius

D. 87 degrees Celsius
Chemistry
2 answers:
vodka [1.7K]2 years ago
3 0

Answer:

C. 81 degrees Celsius

Explanation:

  • To solve this problem, we can use the relation:

<em>Q = m.c.ΔT,</em>

where, Q is the amount of heat released from water (Q = - 1200 J).

m is the mass of the water (m = 20.0 g).

c is the specific heat capacity of water (c of water = 4.186 J/g.°C).

ΔT is the difference between the initial and final temperature (ΔT = final T - initial T = final T - 95.0°C).

<em>∵ Q = m.c.ΔT</em>

∴ (- 1200 J) = (20.0 g)(4.186 J/g.°C)(final T - 95.0°C ).

(- 1200 J) = 83.72 final T - 7953.

∴ final T = (- 1200 J + 7953)/83.72 = 80.67 °C ≅ 81.0 °C.

<em>So, the right choice is: C. 81 degrees Celsius </em>

<em></em>

JulijaS [17]2 years ago
3 0

Answer : The correct option is, (C) 81^oC

Explanation :

Formula used :

Q=m\times c\times \Delta T

or,

Q=m\times c\times (T_2-T_1)

where,

Q = heat released = -1200 J

m = mass of water = 20.0 g

c = specific heat of water = 4.184J/g.^oC

T_1 = initial temperature  = 95.0^oC

T_2 = final temperature  = ?

Now put all the given value in the above formula, we get:

-1200J=20.0g\times 4.184J/g.^oC\times (T_2-95.0)^oC

T_2=80.6^oC\approx 81^oC

Therefore, the approximate final temperature of the water is 81^oC

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At the first state, the molar volume is:

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Now, as it is about an adiabatic process, one remembers the following relationships:

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P_2=\frac{P_1V_1^\alpha }{V_2^\alpha} =\frac{10bar*(2.48x10^{-3}m^3)^{1.4}}{(2.48x10^{-2}m^3)^{1.4}} =0.398bar=39800Pa

- And the temperature:

T_2=\frac{T_1V_1^{\alpha-1}}{V_2^{\alpha-1}} =\frac{298.15K*(2.48x10^{-3}m^3)^{1.4-1}}{(2.48x10^{-2}m^3)^{1.4-1}} =118.7K\\

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It is clear that the heat for the first process is 0 as it is adiabatic, but for the second one, it is computed as:

Q_2=nCv(T_2-T_1)=1mol*\frac{5}{2}(8.314\frac{J}{mol*K})*(118.7K-298.15K)=-3729.9J

Then the total heat:

Q=Q_1+Q_2=0-3729.9J=-3729.9J

- The work for the first process is:

W_1=\frac{P_2V_2-P_1V_1}{1-\alpha }=\frac{39800Pa*2.48x10^{-3}m^3-1x10^6Pa*2.48x10^{-2}m^3}{0.4} \\W_1=-61753.24J

It is clear that the second process is isochoric, so the work here is zero, thus, the total work is:

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U_1=nCv(T_2-T_1)=1mol*\frac{5}{2}(8.314\frac{J}{mol*K})*(118.7K-298.15K)=-3729.9J\\U_2=nCv(T_3-T_2)=1mol*\frac{5}{2}(8.314\frac{J}{mol*K})*(298.15K-118.7K)=3729.9J\\

- Finally, the total enthapy is also 0 due to same aforesaid reason, thus, each enthalpy is:

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Biogeochemical cycle brainly.com/question/3509510

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