In: Chemistry
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.
2, 3 & 4
1 & 3
2, 4 & 5
D. 1, 3 & 5
1 & 2
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