Chapter 51

The Beer-Lambert relationship, eqn [29.3] is written in the form \(A=\varepsilon / C]\). Rearrange, in the form: (a) \([C]=\) (b) \(\varepsilon=\)

Rearrange the following formulae: (a) If \(y=a x+b\), find \(b\) (b) If \(y=a x+b\), find \(x\) (c) If \(x=y^{3}\), find \(y\) (d) If \(x=3^{y}\), find \(y\) (e) If \(x=(1-y)\left(z^{p}+3\right)\), find \(z\) (f) If \(x=(y-z)^{1 / n} / p q\), find \(n\)

Give the following numbers to the accuracy indicated: (a) \(214.51\) to three significant figures (b) 107029 to three significant figures (c) \(0.0450\) to one significant figure (d) \(99.817\) to two decimal places (e) \(99.897\) to two decimal places (f) \(99.997\) to two decimal places (g) 6255 to the nearest 10 (h) 134903 to the nearest ten thousand State the following: (i) the number of significant figures in 3400 (j) the number of significant figures in \(3400.3\) (k) the number of significant figures in \(0.00167\) (I) the number of significant figures in \(1.00167\) (m) the number of decimal places in \(34.46\) (n) the number of decimal places in \(0.00167\)

Carry out calculations involving percentages. Answer the following questions, giving your answers to two decimal places: (a) What is \(6 / 35\) ths expressed as a percentage? (b) What is \(0.0755\) expressed as a percentage? (c) What is \(4.35 \%\) of \(322 ?\) (d) A rat's weight increased from \(55.23\) to \(75.02 \mathrm{~g}\). What is the \% increase in its weight?