Physics · Heat and Thermodynamics
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An ideal gas of N molecules is enclosed in a container at a constant pressure P. The graph between the volume of gas and its absolute temperature is a straight line. What is the gradient of the graph?
- A
NR/p
- B
NRp
- C
Nk/p
- D
Nkp
We know that PV= NkT
where P is the pressure and k is the Boltzman constant
PV= NkT
V= NkT/P
V= (Nk/P)T (1)
Equation of a straight line =Y = mx + c (2)
comparing (1) and (2)
Y = V
c = 0
x = T
and m (gradient) = (Nk/P)
Nk/p is correct. Therefore, this option is incorrect.
Nk/p is correct. Therefore, this option is incorrect.
We know that PV= NkT
where P is the pressure and k is the Boltzman constant
PV= NkT
V= NkT/P
V= (Nk/P)T (1)
Equation of a straight line =Y = mx + c (2)
comparing (1) and (2)
Y = V
c = 0
x = T
and m (gradient) = (Nk/P)
Nk/p is correct. Therefore, this option is incorrect.
Tagged under Physics · Heat and Thermodynamics