the ideal gas equation is given by PV=nRT. sketch the following graphs for an ideal gas. show all working steps for the derivation of the graph.
a) P against n at constant V and T
b) PV against (1/V) at constant n and T(degree celsius)
c)P against T(degree celsius) at constant V and n.
d) density/P against P at constant T.
so far, for (a), i got a straight line graph through the origin. for (c), i got a straight line graph through a point on the y-axis.( do i have to state the gradient on the graph? for eg, for a) gradient=(RT/V)? )
for (d) , i got a horizontal graph with (M/RT) being the point on the y-axis.
is my answers correct for all of these? i cant figure out how to do (b)..
Originally posted by tay77:the ideal gas equation is given by PV=nRT. sketch the following graphs for an ideal gas. show all working steps for the derivation of the graph.
a) P against n at constant V and T
b) PV against (1/V) at constant n and T(degree celsius)
c)P against T(degree celsius) at constant V and n.
d) density/P against P at constant T.
so far, for (a), i got a straight line graph through the origin. for (c), i got a straight line graph through a point on the y-axis.( do i have to state the gradient on the graph? for eg, for a) gradient=(RT/V)? )
for (d) , i got a horizontal graph with (M/RT) being the point on the y-axis.
is my answers correct for all of these? i cant figure out how to do (b)..
Your answers are correct.
You do not need to specify gradient unless the question requires it.
For PV against (1/V) at constant n and T, it is a horizontal straight line, somewhere above the x-axis.
Note that the correct nomenclature (ie. what your teacher should use when setting questions) uses T for Kelvins and t for deg C.
how do u derive the horizontal straight line?
my tuturial uses T for degree celsius. i think shld be typo error..
Originally posted by tay77:how do u derive the horizontal straight line?
my tuturial uses T for degree celsius. i think shld be typo error..
Mathematically, by variable manipulation, naturally.
Conceptually, at constant (number of moles) and (temperature), (pressure) is inversely proportional to (volume), hence the x-axis 1/V is effectively p, and (pressure)*(volume) or PV = constant value. Hence, horizontal line.
ok. so the point on the y-axis is nRT?
Originally posted by tay77:ok. so the point on the y-axis is nRT?
Yes.
Thanks