32.0=5.5x10^2(1/T)+14.2
Solve for T
I am confused about what the first step would be to solving for T. Would I divide 5.5x10^2(1/T) and move it to the left side?
Please help.
Not 100% sure but I would start by subtracting 14.2 from both sides(=17.8). Then multiply by the reciprocal of 1/T (both sides) then divide both sides by 17.8.
32.0=5.5*10^2(1/T)+14.2
-14.2=5.5*10^2(1/T)-14.2
(T/1)17.8=5.5*10^2(1/T)*(T/1)
T 17.8/(17.8)=5.5*10^2/(17.8)
T=5.5*10^2/17.8
T=30.8988764
Hope that helped a little
To solve for T, we need to isolate the term that contains T on one side of the equation. Let's simplify the equation and rearrange it step by step:
Step 1: Start with the equation: 32.0 = 5.5x10^2(1/T) + 14.2
Step 2: Subtract 14.2 from both sides to move it to the right side of the equation:
32.0 - 14.2 = 5.5x10^2(1/T)
Step 3: Simplify the left side:
17.8 = 5.5x10^2(1/T)
Step 4: Divide both sides of the equation by 5.5x10^2:
17.8 / (5.5x10^2) = 1/T
Step 5: To simplify further, divide 17.8 by 5.5 and divide 1 by 10^2:
(17.8 / 5.5) / 10^2 = 1/T
Step 6: Calculate the left side:
3.2363636... x 10^(-1) = 1/T
Step 7: To isolate T, take the reciprocal of both sides:
T = 1 / (3.2363636... x 10^(-1))
Step 8: Simplify the right side:
T = 1 / (0.32363636...)
Step 9: Calculate the value of T:
T ≈ 3.090909...
Thus, the value of T is approximately 3.090909... or you can round it to the desired number of decimal places depending on your needs.