Greater than (less space = less room for the particles to bounce around in = bounce around faster (hits walls/each other more often) = greater pressure)
The given function is:
P = 120 i / (i^2 + i + 9)
or
P = 120 i (i^2 + i + 9)^-1
<span>The maxima point is obtained by taking the 1st
derivative of the function then equating dP / di = 0:</span>
dP / di = 120 (i^2
+ i + 9)^-1 + (-1) 120 i (i^2 + i + 9)^-2 (2i + 1)
setting dP / di =0 and multiplying whole equation by (i^2
+ i + 9)^2:
0 = 120 (i^2 + i + 9) – 120i (2i + 1)
Dividing further by 120 will yield:
i^2 + i + 9 – 2i^2 – i = 0
-i^2 + 9 =0
i^2 = 9
<span>i = 3 (ANSWER)</span>
Therefore P is a maximum when i = 3
Checking:
P = 120 * 3 / (3^2 + 3 + 9)
P = 17.14
The first option would be correct.
It contains 1 single element.
Hope this helps! (:
You need to use the equation q=mcΔT.
q=the heat absorbed or released
m= the mass of the sample (in this case 250g)
c=the specific heat of the sample (in this case 4.18J/g°C)
ΔT=the change in temperature (in this case 5°C)
When you plug every thing in you should get q=5225J or 5.225kJ
I hope this helps. Let me know if anything is unclear.
