a 2.00 liter sample of air at -50 degrees Celsius has a pressure of 700 torr. Wh

Question

a 2.00 liter sample of air at -50 degrees Celsius has a pressure of 700 torr. What will be the new pressure a 2.00 liter sample of air at -50 degrees Celcius has a pressure of 700 torr. What will be the new pressure (torr) if the temperature is raised from 50 degrees Celsius and the volume is increased to 4.00 liters? I need a step-by-step clearly legible answer please thank you.

Mo b. Sb A 200L sale of siu at -30"C tas a presstuse of 700 toT What will be the urw peesour (to the teniperzture is raized to 50'C and tbe volume is imcreased to 4 001 a) 410 b) 440 c) 4s5 6) 506 , & A 2.45 L samypie of He at 739 tom i mnised with 6 08 L efAi a 25 sos 4.803 A 245 L sample of He at 739 torr e mixed wit: 6 0S L of A at 325 tom both at 25'C n places a 4.80 L container ar 25 °C. Waat ts the partial pees saze (otm) of He ) 0424 503 al 048 b) 054 c) 0.42 d) 0 50

Explanation / Answer

This problem is based on Ideal gas equation stated as,

PV = nRT

PV/T = nR

R = molar gas constant.

For fixed moles of a gas i.e. n = constant.

Then,

PV/T = constant

Hence we can write,

P1V1/T1 = P2V2/T2 = ……….. = constant

Or,

P1V1/T1 = P2V2/T2 …………….(1)

Let initially, P1 = 700 torr, V1 = 2.00 L, T = –50 oC = –50 + 273.15 = 223.15 K.

And finally, P2 = ?, V2 = 4.00 L, T = 50 oC = 50 + 273.15 = 323.15 K

Note: As we are suppose to take ratios of all quantities we will not convert all in one unit as these units goinig to cancel out exactly. In case if not we would have converted all of them in one type of unit mainly SI or Litre – atm unis.

Let us put these values in eq.(2) and solve it for P2,

700 x 2.00 /223.15 = P2 x 4.00 /323.15

Let us re arrange it for P2,

P2 = 700 x (2.00/4.00) x (323.15/232.15)

P2 = 700 x ½ x 1.449

P2 = 350 x 1.449

P2 = 506.8 torr

P2 = 507 torr …………….(rounded)

Pressure will be 507 torr. (506 torr in option)

Answer: Option –(d).

=======================XXXXXXXXX=======================

I used direct way of calculation may because of that there is small difference in answer. But i don't think it will matter much.

On case please let me know.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.