Mathematics, 28.02.2021 22:10 jamiezanfardino1464

The ideal gas law states that the volume, v, of a gas in liters varies directly with the amount of the gas in moles, n, and the absolute temperature, T, in kelvins and varies inversely with the pressure, P, in atmospheres. Two moles of a gas have a volume of 35.424 L at 270 kelvins when P = 1.25 atmospheres. What is the volume of 3 moles of a gas at 280 kelvins when P = 1.5 atmospheres? 11.48 L 27.33 L 45.92 L 103.32 L

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Answer from: tacojordan4128

45.92 L

Step-by-step explanation:

A & B are directly proportional (vary directly) if A = k * B, where k is some constant, called the 'constant of proportionality'.

A & B are inverselyproportional (vary inversely) if A = k/B, where k is some constant, called the 'constant of proportionality'.

So here, in math terms, we are told that V = (r * n * T)/P, where 'r' is the constant of proportionality.

We are also told that 35.424 = (r * 2 *270)/1.25

We can solve for the constant, r.

r = PV/nT = (1.25 * 35.424)/(2 * 270) = 44.28/540 = 0.082

r = 0.082

In the second scenario, n =3, T = 280, P =1.5, r always equals 0.082, and we are asked to find V, the volume.

V = nrT/P

V = (3)(0.082)(280)/1.5 = 68.88/1.5 = 45.92, in liters

Answer from: Quest

the speed is $135$ miles per hour > is false

step-by-step explanation:

we know that

a relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

in a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

the graph shown in the figure represent a direct variation

the slope of the line represent the speed

$y/x=k$

for the point $(1.5,90)$

substitute the values of x and y

$k=90/1.5=60\ miles/hour$

the linear equation is equal to

$y=60x$

statements

case a) it takes $2$ hours to go $120$ miles

the statement is true

because

substitute

for $x=2$

find the value of y in the linear equation

$y=60(2)=120\ miles$ > is correct

case b) the speed is $135$ miles per hour

the statement is false

because the speed is $60\ miles/hour$

case c) the unit rate for the trip is $60\ miles/hour$

the statement is true

because the speed is equal to the slope of the linear equation

case d) it took $20$ minutes to go the first $20$ miles

the statement is true

because

substitute

for $x=20\ minutes=(1/3)\ hour$

find the value of y in the linear equation

$y=60(1/3)=20\ miles$ > is correct

Answer from: Quest

The heir to the austrian throne, archduke franz ferdinand was gunned down by a young serbian terrorist. germany urged austria to declare war on serbia. russia mobilized against austria, then germany mobilized against russia. france and britain mobilized against germany. then young men such as adolf hitler volunteered in the war.

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The ideal gas law states that the volume, v, of a gas in liters varies directly with the amount of t...

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