At 5°c, a steel tank is 6m high, 9m in diameter, and contains oil to the 5.9m level. A heating coil is put into service, causing 3.4m^3 of oil to spill over the top of the tank by the time the final temperature is reached. Calculate the final temperature, if the coefficient of expansion of the oil is 0.00041, and coefficient of expansion for steel is 0.0000165. Note: Do not neglect the expansion of the tank.
Equation for volumetric expansion for solids. ΔV= V x 3∂ x ΔT
Equation for volumetric expansion fo liquids. ΔV= V x β x ΔT
V= volume ∂=coefficient of expansion, ΔT=change in temperature, β= coefficient of expansion liquid.
I've been working on this one for a while now, having a hard time developing a formula that takes expansion of both into consideration. I've tried solving them seperatly, and I tried using a ratio to solove the problem, but I can't get anything close to the answer, which is 74.9°c.
If someone could just get me onto the right track, i'd like to solve it myself, thanks.