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Papessa [141]
3 years ago
10

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
Mathematics
2 answers:
Ann [662]3 years ago
4 0

Answer:

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

stiv31 [10]3 years ago
4 0

Answer:

The answer would be C or the third option,

Step-by-step explanation:

45.92 L

Have a great week and stay safe!

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Answer:

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Step-by-step explanation:

Dependent Variables are always Y and Independent Variables are always x.

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4 0
2 years ago
to communication companies offer calling plans with company X it cost $0.30 to connect and then $0.03 for each minute with compa
mario62 [17]

Answer:

$0.30 + $0.03n > $0.02 + $0.02n

Step-by-step explanation:

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2 years ago
Apply The Remainder Theorem, Fundamental Theorem, Rational Root Theorem, Descartes Rule, and Factor Theorem to find the remainde
Over [174]

9514 1404 393

Answer:

  possible rational roots: ±{1/3, 2/3, 1, 4/3, 2, 3, 4, 6, 12}

  actual roots: -1, (2 ±4i√2)/3

  no turning points; no local extrema

  end behavior is same-sign as x-value end-behavior

Step-by-step explanation:

The Fundamental Theorem tells us this 3rd-degree polynomial will have 3 roots.

The Rational Root Theorem tells us any rational roots will be of the form ...

  ±{factor of 12}/{factor of 3} = ±{1, 2, 3, 4, 6, 12}/{1, 3}

  = ±{1/3, 2/3, 1, 4/3, 2, 3, 4, 6, 12} . . . possible rational roots

Descartes' Rule of Signs tells us the two sign changes mean there will be 0 or 2 positive real roots. Changing signs on the odd-degree terms makes the sign-change count go to 1, so we know there is one negative real root.

The y-intercept is 12. The sum of all coefficients is 22, so f(1) > f(0) and there are no positive real roots in the interval [0, 1]. Synthetic division by x-1 shows the remainder is 22 (which we knew) and all the quotient coefficients are all positive. This means x=0 is an upper bound on the real roots.

The sum of odd-degree coefficients is 3+8=11, equal to the sum of even-degree coefficients, -1+12=11. This means that -1 is a real root. Synthetic division by x+1 shows the remainder is zero (which we knew) and the quotient coefficients alternate signs. This means x=-1 is a lower bound on real roots. The quotient of 3x^2 -4x +12 is a quadratic factor of f(x):

  f(x) = (x +1)(3x^2 -4x +12)

The complex roots of the quadratic can be found using the quadratic formula:

  x = (-(-4) ±√((-4)^2 -4(3)(12)))/(2(3)) = (4 ± √-128)/6

  x = (2 ± 4i√2)/3 . . . . complex roots

__

The graph in the third attachment (red) shows there are no turning points, hence no relative extrema. The end behavior, as for any odd-degree polynomial with a positive leading coefficient, is down to the left and up to the right.

4 0
3 years ago
PLEASE SEE PIC BELOW
zhuklara [117]
It’s too blurry to see retake the picture and ask the question again for help
4 0
3 years ago
Find the length of WY
DENIUS [597]

Answer:

WY = 180

Step-by-step explanation:

the diagonals of an isosceles trapezoid are congruent , so

ZX = WY , that is

8y - 4 = 7y + 19 ( subtract 7y from both sides )

y - 4 = 19 ( add 4 to both sides )

y = 23

Then

WY = 7y + 19 = 7(23) + 19 = 161 + 19 = 180

4 0
2 years ago
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