Chapter 6 Multiple choice questions

* not completed

. Rearrange the following equation to make p the subject: q = 12 + 6p.

p = q - 12 correct incorrect

$p=\frac{q-12}{6}$ correct incorrect

$p=\frac{q}{6}-12$ correct incorrect

p = 6q - 12 correct incorrect

* not completed

. Rearrange the following equation to make p the subject: q = 15 - 3p.

$p=5-q$ correct incorrect

$p=\frac{q}{3}-15$ correct incorrect

$p=15-3q$ correct incorrect

$p=\frac{15-q}{3}$ correct incorrect

* not completed

. Rearrange the following equation to make p the subject:
$q=\frac{27-5p}{8}$.

$p=\frac{27-8q}{5}$ correct incorrect

$p=\frac{8q-27}{5}$ correct incorrect

$p=\frac{\text{27}+8q}{\text{5}}$ correct incorrect

$p=5\left(8q-27\right)$ correct incorrect

* not completed

. Rearrange the following equation to make p the subject: $6q=\frac{17}{p+3}$.

$p=\frac{1}{102q}-3$ correct incorrect

$p=\frac{17}{6q}-3$ correct incorrect

$p=\frac{17}{6q+3}$ correct incorrect

$p=\frac{17}{6q}+3$ correct incorrect

* not completed

. Rearrange the following equation to make r the subject: $s=\frac{5s+9}{4-r}$.

$r=\left(5s+9\right)\left(4-s\right)$ correct incorrect

$r=9+\frac{9}{s}$ correct incorrect

$r=-1-\frac{9}{s}$ correct incorrect

$r=\frac{5s+9}{4-s}$ correct incorrect

* not completed

. Rearrange the equation $\frac{\Delta p}{\Delta T}=\frac{\Delta H}{T\Delta V}$to make ΔH the subject.

$\Delta H=\frac{\Delta p}{T\Delta V\Delta T}$ correct incorrect

$\Delta H=\frac{\Delta T}{T\Delta V\Delta p}$ correct incorrect

$\Delta H=\frac{T\Delta V\Delta p}{\Delta T}$ correct incorrect

$\Delta H=\frac{\Delta V\Delta p}{T\Delta T}$ correct incorrect

* not completed

. Consider the Clausius equality, ΔS = Δq/T. Rearrange the equation to make Dq the subject.

Δq = ΔS - T correct incorrect

Δq = T ΔS correct incorrect

Δq = ΔS + T correct incorrect

Δq = ΔS / T correct incorrect

* not completed

. Consider the Nernst equation: ${\displaystyle E_{0,R}=E_{0,\mathrm{R}}^{{}^{⦵}}+\frac{RT}{nF}\ln \left(\frac{a\left(\mathrm{O}\right)}{a\left(R\right)}\right)}$.
The rearrangements (a)-(d) each make a different variable the subject. Which is INCORRECT?

${\displaystyle E_{0,\mathrm{R}}^{{}^{⦵}}=E_{0,R}-\frac{RT}{nF}\ln \left(\frac{\left[\mathrm{O}\right]}{\left[R\right]}\right)}$ correct incorrect

${\displaystyle n=\left(\frac{\left[\mathrm{O}\right]}{\left[R\right]}\right)\frac{RTexp(E_{0,\mathrm{R}}-E_{0,\mathrm{R}}^{⦵})}{F}}$ correct incorrect

${\displaystyle \left[\mathrm{O}\right]=\left[\mathrm{R}\right]\exp \left\{\frac{\mathit{n}\mathit{F}}{\mathit{R}\mathit{T}}({\mathrm{E}}_{0,\mathrm{R}}-{\mathrm{E}}_{0,\mathrm{R}}^{⦵})\right\}}$ correct incorrect

${\displaystyle \left[\mathrm{R}\right]=\left[\mathrm{O}\right]\exp \left\{\frac{\mathit{n}\mathit{F}}{\mathit{R}\mathit{T}}({\mathrm{E}}_{0,\mathrm{R}}^{⦵}-{\mathrm{E}}_{0,\mathrm{R}})\right\}}$ correct incorrect

* not completed

. Consider the van't Hoff isochore which describes the temperature dependence of an equilibrium constant: Consider the Nernst equation: ${\displaystyle \ln \left(\frac{k_2}{k_1}\right)=-\frac{∆H_R^{⦵}}{R}\left(\frac{1}{T_2}-\frac{1}{T_1}\right)}$. The rearrangements (a)-(d) each make a different variable the subject. Which is INCORRECT?

${\displaystyle ∆H_R^{⦵}=-1\times \frac{R\times \ln \left(K_2/K_3\right)}{\left(\frac{1}{T_2}-\frac{1}{T_1}\right)}}$ correct incorrect

${\displaystyle K_2=\frac{\exp \left\{-{\displaystyle \frac{∆H_{\mathit{R}}^{\mathrm{⦵}}}{R}}\left(\frac{1}{{\mathrm{T}}_2}-\frac{1}{{\mathrm{T}}_1}\right)\right\}}{K_1}}$ correct incorrect

${\displaystyle K_2=K_1\exp \left\{-\frac{∆H_R^{\mathrm{⦵}}}{R}\left(\frac{1}{{\mathrm{T}}_2}-\frac{1}{{\mathrm{T}}_1}\right)\right\}}$ correct incorrect

${\displaystyle \frac{1}{T_2}=\frac{1}{T_1}-\left\{\frac{R}{∆H_R^{⦵}}\ln \left(\frac{K_2}{K_1}\right)\right\}}$ correct incorrect

* not completed

. Consider the equation of a straight line, y = mx + c. The rearrangements (a)-(d) each make a different variable the subject. Which is INCORRECT?

c = y - mx correct incorrect

c = mx - y correct incorrect

$x=\frac{y-c}{m}$ correct incorrect

$m=\frac{y-c}{x}$ correct incorrect