- if two objects, one of lead and the other of aluminum, weigh the same in water

Question

- if two objects, one of lead and the other of aluminum, weigh the same in water, then
a) they will weigh the same in alcohol
b) they must have the same density
c) the aluminum weight must have a lower volume than the lead weight
d) they must have the same mass
e) the aluminum weight will weigh more in alcohol than the lead weight does

- what temperatire will be twice as warm as room temperature (20 degrees celsius)
a) 40
b) 313
c) 586
d) 40
e)293

-the volume expansion coefficient for gasoline is 950 x 10-6/ K . gasoline is sold by volume, usually measured in liters. when would it bebmost economical to purchase gasoline sold this way?
a) when the gasoline is cold
b) when its warm
c) the temperature of the gasoline wouldnt make a difference

thanks

Explanation / Answer

When two objects one of lead and another one is aluminium have same wieght in water

then they have same buoyance force to face

so   Val g = Vl g

      mal = ml

therefore the masses are equal i.e (d) they must have the same mass

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The room temperature T = 20C = 20+273K = 293K

when it is twice then T = 2(293) = 586K

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the volume expansion coefficient for gasoline is 950 x 10-6/ K

it will be most economical to purchase gasoline sold when it is cold

since when its temperature rises then the volume of the gasoline increases

therefore so get less than when it is cool.

a) when the gasoline is cold

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