Question Number 39236 by NECx last updated on 04/Jul/18
$${If}\:{a}\:{petrol}\:{tank}\:{costs}\:\$\mathrm{2000}.\mathrm{00}\:{to} \\ $$$${fill}\:{it}\:{up}\:{at}\:\mathrm{10}°{C}\:,{how}\:{much}\:{extra} \\ $$$${dollar}\:{must}\:{I}\:{pay}\:{to}\:{fill}\:{up}\:{the}\:{tank} \\ $$$${at}\:\mathrm{50}°{C},{if}\:{the}\:{petrol}\:{costs}\:\$\mathrm{50}.\mathrm{00} \\ $$$${per}\:{litre}\:{and}\:{its}\:{cubic}\:{expansivity} \\ $$$${is}\:\mathrm{9}.\mathrm{5}×\mathrm{10}^{−\mathrm{4}} {K}^{−\mathrm{1}} ? \\ $$$$ \\ $$
Commented by MrW3 last updated on 04/Jul/18
$$\frac{\Delta{V}}{{V}}=\mathrm{9}.\mathrm{5}×\mathrm{10}^{−\mathrm{4}} ×\left(\mathrm{50}−\mathrm{10}\right) \\ $$$$=\mathrm{9}.\mathrm{5}×\mathrm{10}^{−\mathrm{4}} ×\mathrm{40} \\ $$$$=\mathrm{0}.\mathrm{038} \\ $$$$\Delta{cost}=\mathrm{0}.\mathrm{038}×\mathrm{2000}=\mathrm{76\$} \\ $$
Commented by MrW3 last updated on 04/Jul/18
$$\mathrm{50\$}\:{per}\:{litre}\:! \\ $$$${I}\:{must}\:{say}\:{petrol}\:{in}\:{your}\:{country}\:{is} \\ $$$${really}\:{expensive}.\:{Or}\:{it}'{s}\:{not}\:{US\$}. \\ $$
Commented by NECx last updated on 05/Jul/18
$${Lol}….{its}\:{just}\:{an}\:{analysis}…{not}\:{real} \\ $$