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3 years ago

In an AP, sum of four consecutive terms is 28 and their sum of their squares is 276. Find the four numbers.

1 answer:

4 0

Four Consecutive terms are written as a-3, a-1, a+1,a+3. So

Sum of Terms : 4a=28
a=7

So the terms are 4,6,8,10

Verification : 4^2+6^2+8^2+10^2
= 216

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= 25 X 5 = (use the correct number of sig figs)

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3 years ago

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3 years ago

Calculate the entropy change for the reaction: Fe2O3(s) +3C(s) -> 2Fe(s) + 3CO(g)

Gelneren [198K]

Answer:

ΔS = +541.3Jmol⁻¹K⁻¹

Explanation:

Given parameters:

Standard Entropy of Fe₂O₃ = 90Jmol⁻¹K⁻¹

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Standard Entropy of Fe = 27.2Jmol⁻¹K⁻¹

Standard Entropy of CO = 198Jmol⁻¹K⁻¹

To find the entropy change of the reaction, we first write a balanced reaction equation:

Fe₂O₃ + 3C → 2Fe + 3CO

To calculate the entropy change of the reaction we simply use the equation below:

ΔS = ∑S $_{products}$ - ∑S $_{reactants}$

Therefore:

ΔS = [(2x27.2) + (3x198)] - [(90) + (3x5.7)] = 648.4 - 107.1

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3 years ago

In an AP, sum of four consecutive terms is 28 and their sum of their squares is 276. Find the four numbers.​

In an AP, sum of four consecutive terms is 28 and their sum of their squares is 276. Find the four numbers.