Question

In: Chemistry

Which of the following statements are correct for 2 moles of an ideal gas? 1)   A...

Which of the following statements are correct for 2 moles of an ideal gas?

1)   A plot of P versus T at constant V will give a straight line.

2)   A plot of V versus T at constant P will give a straight line having a slope = R / P.

3)   A plot of PV /T versus P will give a straight line having a zero slope.

4)   A plot of PV versus T will give a straight line having a zero slope.

5)   A plot of PV /RT versus P will give a straight line having a slope = 2.

  • A.

    2, 3 & 4

  • B.

    1 & 3

  • C.

    2, 4 & 5

  • D. 1, 3 & 5

  • E.

    1 & 2

Solutions

Expert Solution

Which of the following statements are correct for 2 moles of an ideal gas?

1)   A plot of P versus T at constant V will give a straight line.

n= 2

PV= nRT ==> P = (2R/V) T

thus, P = kT , thus plot of P versus T at constant V will give a straight line. (Correct)

2)   A plot of V versus T at constant P will give a straight line having a slope = R / P.

PV= nRT ==> V = (nR/P) T

V = (2R/P) T   , thus V = m T

slope = m = 2R/P

3)   A plot of PV /T versus P will give a straight line having a zero slope.

PV= nRT ==> PV/T = 2R = constant

thus, PV /T versus P will give a straight line having a zero slope. (Correct)

4)   A plot of PV versus T will give a straight line having a zero slope.

PV= nRT ==> PV = (nR) T

thus, PV = m T

slope = m = 2R

5)   A plot of PV /RT versus P will give a straight line having a slope = 2.

PV= nRT ==> PV/RT = n

thus, PV/RT = 2

slope = m = 2   (Correct)

Ans. D. 1, 3 & 5


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