Answer
a) $2.26$
b) $8.43\times10^{22}$
c) $1.5\times 10^5$
d) $6.67\times 10^{12}$
Work Step by Step
a) $\frac{0.102\times 0.0821\times 273}{1.01}\approx 2.2635$. Since all terms have 3 significant figures, the answer also has 3 significant figures
b) $0.14\times 6.022\times 10^{23}\approx 8.4308\times10^{22}$. Since the first term ($0.14$) has 2 significant figures, the answer also has 2 significant figures.
c) $4.0\times 10^4\times 5.021\times 10^{-3}\times 7.34993\times 10^2\approx 1.4762\times 10^5$. Since the first term ($4.0$) has 2 significant figures, the answer also has 2 significant figures.
d) $\frac{2.00\times 10^6}{3.00\times 10^{-7}}\approx 6.6667\times 10^{12}$. Since both terms have 3 significant figures, the answer also has 3 significant figures.$