Chapter 10 Multiple choice questions

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. Given that at 209 K the free energy of a reaction is -19.73 kJ mol^-1, use the van't Hoff isochore: ΔG = −RT ln K to calculate the equilibrium constant.

1.172 x 10^-6 correct incorrect

11.354 correct incorrect

1.011 correct incorrect

85355 correct incorrect

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. Rearrange the following expression to make y the subject:
$\ln \left(4y^3\right)=2$.

$y=e^{\frac{1}{6}}$ correct incorrect

$y=\sqrt[3]{\frac{e^2}{4}}$ correct incorrect

$y=\frac{e^2}{4}$ correct incorrect

$y=\sqrt[3]{\frac{1}{2\ln }}$ correct incorrect

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. Rearrange the following expression to make t the subject:
${\text{e}}^{-4t^2}=d$.

$t=\frac{\sqrt{-\ln \left(d\right)}}{2}$ correct incorrect

$t=\sqrt{-\ln \left(\frac{d}{4}\right)}$ correct incorrect

$t=\frac{\sqrt{-{\text{e}}^d}}{2}$ correct incorrect

$t=\frac{\sqrt{-\ln \left(d\right)}}{4}$ correct incorrect

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. Simplify the expression ln 1.

e correct incorrect

10 correct incorrect

1 correct incorrect

0 correct incorrect

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. Use the laws of logarithms to simplify the following expression:
ln2 + ln.

$\ln \left(512\right)$ correct incorrect

$\ln \left(11\right)$ correct incorrect

$\ln \left(18\right)$ correct incorrect

$\ln \left(\frac{2}{9}\right)$ correct incorrect

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. Use the laws of logarithms to simplify the following expression:
$\ln 4+\log 3+\ln 9+\log 6$.

$\ln \left(36\right)+\log \left(18\right)$ correct incorrect

$\ln \left(648\right)$ correct incorrect

$\ln \left(22\right)$ correct incorrect

$\ln \left(13\right)+\log \left(9\right)$ correct incorrect

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. Use the laws of logarithms to simplify the following expression:
Log (8f³) - log (2f).

$\log \left(8f^3-2f\right)$ correct incorrect

$2f\times \log \left(4f^2-1\right)$ correct incorrect

$\log \left(4f^2\right)$ correct incorrect

$\log \left(16f^4\right)$ correct incorrect

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. Use the laws of logarithms to simplify the following expression:
$4\log t^{\frac{1}{2}}$.

log 2t correct incorrect

8 log t correct incorrect

t² correct incorrect

log t² correct incorrect

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. Use the laws of logarithms to simplify the following expression:
$\ln p^4+\ln \left(3p^5\right)-2\ln p$.

$\ln \left(3p^5+p^4-2p\right)$ correct incorrect

$\ln \left(3p^7\right)$ correct incorrect

$\ln \left(\frac{3p^8}{2}\right)$ correct incorrect

$\ln \left(3p^5+p^4-p^2\right)$ correct incorrect

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. Given that log 3 = 0.477 and log 5 = 0.69, use the laws of logarithms to simplify the following expression: log 75.

0.222 correct incorrect

1.176 correct incorrect

1.875 correct incorrect

1.653 correct incorrect