The table lists pressure and volume values for a particular gas. Which is the best estimate for the value of V at P = 7.0 × 103 pascals? P (pascals) V (liters) 5.0 × 103 6.0 1.5 × 104 3.0 2.0 × 104 2.0 2.5 × 104 1.5
Answers
Answer:
17.23L
Explanation:
The table lists pressure and volume values for a particular gas. Which is the best estimate for the value of V at P = 7.0 × 103 pascals?
P (pascals) V (liters) 1/v
1. 5.0 × 10^3 6.0 0.16
2. 1.5 × 10^4 3.0 0.33
3. 2.0 × 10^4 2.0 0.5
4. 2.5 × 10^4 1.5 0.66
if we are to plot the above data in a linear graph, the equation of a line graph below can be used
y-y1=m(x-x1)
y-y1=(x-x1)..............1
from the ideal gas law
pressure is inversely proportional to volume as nRT is the constant of proportionality
PV=nRT
P=nRT/V
from equation 1
let y1= 1.5 × 10^4
y2= 2.0 × 10^4
x1=0.33
x2= 0.5
y-1.5x10^4=2.0 × 10^4-1.5 × 10^4 /(0.5-.33)(x-0.33)
y-1.5x10^4=29411(x-0.33)
y=15000-9705.88+29411x
y=5294+29411x
at 7*10^3
7*10^3=5294+29411x
x=0.058
recall that x=1/V
inverse of both sides gives volume to be
V=17.23L
I think the question need to use extrapolation. FInd the linear function of the first and second data. And then, the anwser is 5.4 liters.
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