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yan [13]
3 years ago
15

48,000,000,000 g scientific notation

Chemistry
1 answer:
sineoko [7]3 years ago
3 0

Answer:

We want to express it in scientific notation.

  • We will count how many places to the left we move
  • We utilize scientific notation to simplify calculation
  • Hence we move 10 to the left
  • Our answer is 4.8 × 10^10
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Two Carnot engines are operated in series with the exhaust (heat output) of the first engine being the input of the second engin
OlgaM077 [116]

Answer:

(a) 140 F

(b) The temperature rise at the point where the heat is dumped is 2.51 degC

Explanation:

(a) Considering T1 the temperature of input of the first engine, T2 the temperature of the exhaust of the first engine (and input of the second engine) and T3 the exhaust of the second engine, if both engines have the same efficiency we have:

\eta=1-\frac{T_1}{T2}=1-\frac{T_2}{T_3}

The temperatures have to be expressed in Rankine (or Kelvin) degrees

1-\frac{T_1}{T2}=1-\frac{T_2}{T_3}\\\\\frac{T_1}{T2}=\frac{T_2}{T_3}\\\\(T_2)^{2} =T_1*T_3\\\\T_2=\sqrt{T_1*T_3} =\sqrt{(459.67+260)*(459.67+40)}= \sqrt{719.67*499.67}\\\\ T_2=599 \, R= (599-459.67) ^{\circ} F=140^{\circ} F

(b) The Carnot efficiency of the cycle is

\eta_{c}=1-Th/Ts=1-(273+20)/(273+315)=0.502

If the efficiency of the plant is 60% of the Carnot efficiency, we have

\eta=0.6*\eta_{c}=0.6*0.502=0.302

The heat used in the plant can be calculated as

Q_i=W/\eta=750MW/0.302=2483MW

And the heat removed to the heat sink is

Q_o=Qi-W=2483-750=1733MW

If the flow of the river is 165 m3/s, the heat per volume in the sink is

\frac{Q_o}{f} =\frac{1733 MJ/s}{165 m3/s}= 10.5MJ/m3

Considering a heat capacity of water C=4.1796 kJ/(kg*K) and a density ρ of 1000 kg/m3, the temperature rise of the water is

\Delta Q=C*\Delta T\\\Delta T=(1/C)*\Delta Q\\\Delta T=(\frac{1}{4.1796\frac{kJ}{kgK} } )*10,500\frac{kJ}{m3}*\frac{1m3}{1000kg}\\\Delta T= 2.51 ^{\circ}C

8 0
4 years ago
4. When 732 grams of water was heated, it absorbed 1962 Joules of heat. The original temperature of the water was 45°C. What was
SCORPION-xisa [38]

Answer:

T_{final} =45.64C=final temperature

Explanation:

In the question specific heat of water is not given but we should know the value of that and it 4.18Jg∘C

Specific heat means how much heat is required to increase the temperature of 1 gram of substance that substance by 1∘C .

Equation between heat lost or gain and the change in temperature.

q=m⋅c⋅ΔT , where

q - the amount of heat

m - the mass of the sample

c - specific heat  of sample

ΔT - change in temperature

put all the given value into this ,

q=m\times c \times  \Delta  T

\Delta T=\frac{q}{mc} =\frac{1962}{732 \times 4.18}

\Delta T= 0.64C

T_{final} -T_{initial} =0.64C

T_{final} =45.64C=final temperature.

8 0
4 years ago
The surface temperature on Venus may approach 757 K. What is this temperature in degrees Celsius?
kotykmax [81]

Explanation:

1 ) Temperature of Venus in Kelvins =  757 Kelvins

0^oC=273 Kelvins

Temperature of Venus in degrees Celsius =757-273 K=484 K

2 ) Temperature on Mercury at night = -269^oF

(T)^oC=((T)^oF-32)\times \frac{5}{9}

(T)^oC=((-269)^oF-32)\times \frac{5}{9}=167.22^oC

Temperature on Mercury at night in degree Celsius = 167.22° C

7 0
3 years ago
Read 2 more answers
Answer pls ASAPPP 50 pointsss!!
amm1812

Answer:

There should only be one chemical reaction, this is because toasting the bread is not only using heat, but you cannot untoast the bread, and also theres a reaction with the amino acids and sugar in bread when it's cooked. I hope this helps you! :)

5 0
3 years ago
Read 2 more answers
Tris base has a molecular weight of 121 g/mol. How many grams of tris base would you need to make 250ml of a 200mM SOLUTION
STatiana [176]

Answer:

6.05 g

Explanation:

Molarity of a substance , is the number of moles present in a liter of solution .

M = n / V

M = molarity

V = volume of solution in liter ,

n = moles of solute ,

From the question ,

M = 200mM

Since,

1 mM = 10⁻³ M

M = 200 * 10⁻³ M

V = 250 mL

Since,

1 mL = 10⁻³ L

V = 250 * 10⁻³ L

The moles can be calculated , by using the above relation,

M = n / V  

Putting the respective values ,

200 * 10⁻³ M = n / 250 * 10⁻³ L

n = 0.05 mol

Moles is denoted by given mass divided by the molecular mass ,

Hence ,

n = w / m

n = moles ,

w = given mass ,

m = molecular mass .

From the question ,

m = 121 g/mol

n = 0.05 mol ( calculated above )

The mass of tri base can be calculated by using the above equation ,

n = w / m  

Putting the respective values ,

0.05 mol = w / 121 g/mol

w = 0.05 mol * 121 g/mol

w = 6.05 g

3 0
4 years ago
Read 2 more answers
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