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

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

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0.0076, if you meant 4.125 divided by 0.03125 it would be 132

step-by-step explanation:

first you have to move the decimal in 0.03125 over until its behind the 5 which is 5 places over. now the number is 3125

then you have to move the decimal in 4.125, 5 places over. now the number is 4,112,500.

now you divide like you would normally would and get 0.0076