Physics, 26.11.2019 01:31 richhgirlex

Atypical car has 16 l of liquid coolant circulating at a temperature of 95 ∘c through the engine's cooling system. assume that, in this normal condition, the coolant completely fills the 2.0 −l volume of the aluminum radiator and the 14.0 −l internal cavities within the steel engine. when a car overheats, the radiator, engine, and coolant expand and a small reservoir connected to the radiator catches any resultant coolant overflow. estimate how much coolant overflows to the reservoir if the system is heated from 95 ∘c to 105 ∘c. model the radiator and engine as hollow shells of aluminum and steel, respectively. the coefficient of volume expansion for coolant is β=410⋅10−6/c∘

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Answer from: j015

$\Delta V=0.0592\ L$

Explanation:

Given:

Initial temperature of the coolant, $T_f=95^{\circ}C$ final temperature of the coolant, $T_f=105^{\circ}C$ total volume of the coolant, $V_c=16\ L$ coefficient of volume expansion for coolant, $\beta_c=410\times 10^{-6}\ ^{\circ}C^{-1}$ volume of Al radiator, $V_a=2\ L$ volume of steel radiator, $V_s=14\ L$

We have:

coefficient of volume expansion for Aluminium, $\beta_a=75\times 10^{-6}\ ^{\circ}C^{-1}$

coefficient of volume expansion for steel, $\beta_a=35\times 10^{-6}\ ^{\circ}C^{-1}$

Now, change in volume of the coolant after temperature rises:

$\Delta V_c=V_c.\beta_c.\Delta T$

$\Delta V_c=16\times 410\times 10^{-6}\times (105-95)$

$\Delta V_c=0.0656\ L$

Now, volumetric expansion in Aluminium radiant:

$\Delta V_a=V_a.\beta_a.\Delta T$

$\Delta V_a=2\times 75\times 10^{-6}\times (105-95)$

$\Delta V_a=0.0015\ L$

Now, volumetric expansion in steel radiant:

$\Delta V_s=V_s.\beta_s.\Delta T$

$\Delta V_s=14\times 35\times 10^{-6}\times (105-95)$

$\Delta V_s=0.0049\ L$

∴Total extra accommodation volume created after the expansion:

$V_X=\Delta V_s+\Delta V_a$

V_X=0.0049+0.0015

$V_X=0.0064\ L$

Hence, the volume that will overflow into the small reservoir will be the volume of coolant that will be extra after the expanded accommodation in the radiator.

$\Delta V=\Delta V_c-\Delta V_X$

$\Delta V=0.0656-0.0064$

$\Delta V=0.0592\ L$

Answer from: Quest

0.11 m/s and 0.28 m/s should be correct

Answer from: Quest

-first use of geothermal energy occurred more than 10,000 years ago in north america by american paleo-indians

-the first industrial use of geothermal energy began near pisa, italy in late 18th century

-in 1904, italian scientist piero ginori conti invented the first geothermal electric power plant in which steam was used to generate the power

-with the above experiment, the first geothermal plant in usa started in 1922 with a capacity of 250 kilowatts

-however, in 1946 first ground-source geothermal heat pump installed at commonwealth building in portland, oregon

-during the 1960’s, pacific gas and electric began operation of first large scale geothermal power plant in san francisco, producing 11 megawatts

-in 1973, when oil crisis began many countries began looking for renewable energy sources and by 1980’s geothermal heat pumps (ghp) started gaining popularity in order to reduce heating and cooling costs

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hope this

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Atypical car has 16 l of liquid coolant circulating at a temperature of 95 ∘c through the engine's c...