If you could explain all the concepts and why you used the formulas you did that
ID: 1527167 • Letter: I
Question
If you could explain all the concepts and why you used the formulas you did that would be awesome.
The cylinder in the figure 1) as a moveable piston attached to a spring. The cylinder's cross-section area is 10 cm2, it contains 0.0047 mol of gas, and the spring constant is 1500 N/m. At 15 Cthe spring is neither compressed nor stretched Figure 1 T of 1 1500 N/m A 10 cm Part A How far is the spring compressed if the gas temperature is raised to 110 °C? Express your answer to two significant figures and include the appropriate units Ar Value Units Submit My Answers Give Up ContinueExplanation / Answer
APplying P V = n R T
Patm (A x L ) = 0.0047 x 8.314 x (273 + 15)
(101325) (10 x 10^-4 x L ) = 0.0047 x 8.314 x 288
L = 0.111 m
When temp is raiseed to 110 deg C then
Applying P V = n R T
P A L' = (0.0047) ( 8.314) ( 273 + 110)
P A L' = 14.966
P L' = 14966.6 ........(i)
nwhen spring is compressed then Fnet = A (P - Patm) = k x
(10 x 10^-4) ( P - 101325) = 1500 ( L' - 0.111 )
(14966.6 / L' - 101325) = (1.5 x 10^6) ( L' - 0.111)
(1.5 x 10^6) L'^2 - 65175L' - 14966.6 = 0
L' = 0.124 m
hecne deltaX = L' - L = 0.013 m ......Ans