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a 64 l gas tank is filled completely is 15 degree celsius how much gasoline overflows into can get up to 35 degree celsius while the car is parked in direct sunlight​

Respuesta :

mausamrana

Answer:

Volume of gasoline overflow(v)= 40/9 L (I.e. 4.44 L)

Explanation:

Use v1/T1=v2/T2

.....overflow(V)=v2-v1

Note; Take temperature in absolute scale or kelvin scale

boffeemadrid

The overflow volume of the gas is required.

The overflow volume is 4.44 L.

[tex]V_1[/tex] = Initial volume = 64 L

[tex]T_1[/tex] = Initial temperature = [tex]15+273.15=288.15\ \text{K}[/tex]

[tex]V_2[/tex] = Final volume

[tex]T_2[/tex] = Final temperature = [tex]35+273.15=308.15\ \text{K}[/tex]

From the gas laws we have the relation

[tex]\dfrac{V_2}{V_1}=\dfrac{T_2}{T_1}\\\Rightarrow V_2=\dfrac{T_2}{T_1}V_1\\\Rightarrow V_2=\dfrac{308.15}{288.15}\times 64\\\Rightarrow V_2=68.44\ \text{L}[/tex]

Overflow volume

[tex]\Delta V=V_2-V_1=68.44-64\\\Rightarrow \Delta V=4.44\ \text{L}[/tex]

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https://brainly.com/question/22811432?referrer=searchResults

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