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

queen_honey_blossom answered 1 year ago

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