Chapter 2 Multiple choice questions

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. If the final value of H is 18 kJ mol^-1 and the initial value of H is 24 kJ mol^-1, what is ΔH?

–6 correct incorrect

18 correct incorrect

6 correct incorrect

42 correct incorrect

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. If the initial reading on a burette is 2.6 cm³ and the final reading is 36.3 cm³, what is Δ(volume)?

38.9 correct incorrect

33.7 correct incorrect

36.3 correct incorrect

30.7 correct incorrect

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. Select the option that correctly shows what the following notation means:
${\displaystyle \sum _{i=1}^n\left(2i^2+1\right)}$.

= (2 x 1² + 1) + (2 x 2² + 1) + (2 x 3² + 1) + … + (2 n² + 1) correct incorrect

= (2 x 1² + 1) + (2 x n² + 1) correct incorrect

= 2 x 1² + 2 x 2² + 2 x 3² + ... + 2 n² correct incorrect

= 2 x n² + 1 correct incorrect

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. What is the value of ${\displaystyle \sum _{i=2}^5{i}^3}$?

133 correct incorrect

14 correct incorrect

2744 correct incorrect

224 correct incorrect

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. Select an expression starting with ${\displaystyle \sum }$for the following sum:
$\frac{1}{4^2}+\frac{1}{5^2}+\frac{1}{6^2}+\frac{1}{7^2}$.

$={\displaystyle \sum _{i=1}^7\frac{1}{i^2}}$ correct incorrect

$={\displaystyle \sum _{i=1}^4\frac{1}{i^2}}$ correct incorrect

$={\displaystyle \sum _{i=4}^7\frac{1}{i^2}}$ correct incorrect

$={\displaystyle \sum _{i=4}^7\frac{1}{i}}$ correct incorrect

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. Calculate the mass per mole of furaneol (C₆H₈O₃) using Sigma notation.

128 correct incorrect

17 correct incorrect

29 correct incorrect

150 correct incorrect

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. Use the Pi notation to write an expression for the following series of numbers: 1 x 2³ x 3³ x 4³ x 5³.

${\displaystyle \sum _{i=1}^5{i}^3}$ correct incorrect

${\displaystyle \prod _{i=1}^3{i}^5}$ correct incorrect

${\displaystyle \prod _{i=1}^5{i}^3}$ correct incorrect

${\displaystyle \prod _{i=1}^{5}i}$ correct incorrect

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. Write the factorial 9! in Pi notation.

9! = ${\displaystyle \prod _{i=1}^{n}9}$ correct incorrect

9! = ${\displaystyle \sum _{i=1}^{9}i}$ correct incorrect

9! = ${\displaystyle \prod _{i=8}^{9}i}$ correct incorrect

9! = ${\displaystyle \prod _{i=1}^{9}i}$ correct incorrect

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. Calculate the value of ${\displaystyle \prod _2^{4}3i^2}$

5184 correct incorrect

15 552 correct incorrect

46 656 correct incorrect

87 correct incorrect

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. Use the correct notation to represent the following algebraic phrase:
X_final - X_initial $=a_2{x}_{{}_2}^3+a_3{x}_3^3+a_4{x}_{{}_4}^3+a_5{x}_5^3$.

${\displaystyle \sum _{i=2}^5{X}_i=a_i{x}_i{}^2}$ correct incorrect

${\displaystyle \Delta X=\prod _{i=2}^5{a}_i{x}_i{}^2}$ correct incorrect

$\Delta X={\displaystyle \sum _{i=2}^5{a}_i{x}_i{}^2}$ correct incorrect

${\displaystyle \prod _{i=2}^{5}X=a_i{x}_i{}^2}$ correct incorrect