What will happen to the density of a gas if the mass if gas doubles and the volume of the gas is cut in half?

Answer 1

Good question. If you spend some time thinking about it, it explains a whole lot about the universe. If you take a cube size 1X1X1 with a volume of 1 (any units) and you double one side. It is now 2X2X2 or 8. So it is 8 times the volume with the same weight, or 1/8 the density. It also has 4X the cross-section, and 6/24 or 1/4 the surface area. All this is just proportional, no units need to be used to understand the realtionships. You can use these ideas to explain most of what's going on in the universe--for example. If a baby has a unit length of 1, she has a surface area of 6 and a volume of 1. Whereas an adult with a unit length of 4 has an area of 4X4X6=96 and a volume of 4X4X4=64. So if we look at heat loss (for example), which is proportional to the surface area of the creature divided by its volume : Adult: Volume/Area 64/96=0.66 (arbitray units of heat loss)

Baby: Volume/Area 1/6=0.16 (arbitrary units of heat loss) So a baby loses heat at 4X the rate of an adult. BUNDLE UP THE BABY!!!

Answer 2

density: weight/volume

weight:1 → 2

volume:2 → 1

so the density of the gas is four times than before.(1/2 → 2/1)

<another method>

PV=nRT

P: pressure of the gas

V: volume of the gas

n: mole

R: 0.082 (atm‧L/mol，K)

T: temperature(K)

PM=DRT

P: pressure of the gas

M: molecular weight

D: density of the gas

R: 0.082 (atm‧L/mol，K)

T: temperature(K)

in this case,

R, T still remain the same.

V(2 → 1)

n(1 → 2)

P ∝ n/v (1/2 → 2/1)

according to PM=DRT,

P ∝ D

so density of the gas is four times than before.

Answer 3

Nothing. Density depends only on the substance in the sample, and

not on the size of the sample. The density of a sliver of plate steel

resting on the tip of your finger is the same as the density of the

battleship that's built from plate steel.

Answer 4

If the shape stayed the same size then it too would triple, if the shapes area was also multiplied by three then it would stay the same

Answer 5

density = mass / volume = m/v

So if the mass is tripled and the volume is doubled you get...

density = 3m/2v = 1.5 * m/v

Therefor density is increased by fifty percent.

Answer 6

The density would remain exactly the same but the mass would increase threefold.

Answer 7

The density will remain the same. The mass will be halved.

Answer 8

Density would go up 4 times