Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Pleaese i need help!! Thanks Pleaese i need help!! Thanks 1 PnkI in all its poss

ID: 545939 • Letter: P

Question

Pleaese i need help!! Thanks
Pleaese i need help!! Thanks
1 PnkI in all its possible uses. Here are a few examples of the many possible A. A sample of Argon gas occupies a 1.5 L cylinder at a temperature of 22 °C. The cylinder has a pressure of 125 atm. How many moles of argon occupy the cylinder? B. A 5.0 L cylinder is filled with 34.0 moles of nitrogen gas at 293 °C, calculate the pressure in the cylinder in atm. C. High pressure chemistry is conducted in a vessel commonly called a "bomb". A 1.25 L bomb is pressurized to 1,500 psi and sealed room temperature (23 °C). If the temperature is raised to 450 oC, what is the final pressure in psi and atm. D. A gas filled balloon having a volume of 2.50 L at 1.2 atm and 25 °C is allowed to rise to the stratosphere (about 30 km above the surface of the Earth), where the temperature and pressure is -23 °C and 3.00 × 10-3 atm, respectively. Calculate the final volume of the balloon. E. If I have a sealed steal cylinder containing an inert gas and I increase the pressure what effect will this have?

Explanation / Answer

14.

A.

V = 1.5 L

T = 22 oC = 273 + 22 K = 295 K

P = 125 atm

R = 0.082 L atm mol-1 K-1

Now,

PV = nRT

n = PV/RT

   = [ (125 atm) (1.5 L) ] / [ (0.082 L atm mol-1 K-1) (295 K) ]

= 7.75113683 mol

B.

V = 5.0 L

n = 34.0 mol

T = 293 oC = (273 + 293) K = 566 K

P = ?

R = 0.082 L atm mol-1 K-1

Now,

PV = nRT

P = nRT/V

   = [ (34.0 mol) (0.082 L atm mol-1 K-1) (566 K) ] / (5.0 L)

= 315.60 atm

C.

PV = nRT

We know that, at constant volume

P1/T1 = P2/T2

P1 = 1500 psi

T1 = 23 oC = (273 + 23) K = 296 K

P2 = ?

T2 = 450 oC = (273 + 450) K = 723 K

Now,

P1/T1 = P2/T2

P2 = P1T2/T1

   = [ (1500 psi) (723 K) ] / (296 K)

= 3664 psi

1 psi = 0.068046 atm

3664 psi = 3664 x 0.068046 atm

              = 249 atm

D.

PV = nRT

We know that,

P1V1/T1 = P2V2/T2

P1 = 1.2 atm

V1 = 2.50 L

T1 = 25 oC = (273 + 25) K = 298 K

P2 = 3.00 x 10-3 atm = 0.003 atm

V2 = ?

T2 = - 23 oC = (273 - 23) K = 250 K

Now,

P1V1/T1 = P2V2/T2

[ (1.2 atm) (2.50 L) / (298 K) ] = [ (0.003 atm) V2 / (250 K) ]

0.0100671141 L = 0.000012 x V2

V2 = (0.0100671141 L) / (0.000012)

     = 839 L

E.

PV = nRT

It’s a sealed tube, so V = constant

Now, in the equation,

PV = nRT

V, n and R are constant.

So, if we increase the pressure, the temperature will raise.