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Question Number 39236 by NECx last updated on 04/Jul/18

If a petrol tank costs $2000.00 to  fill it up at 10°C ,how much extra  dollar must I pay to fill up the tank  at 50°C,if the petrol costs $50.00  per litre and its cubic expansivity  is 9.5×10^(−4) K^(−1) ?

$${If}\:{a}\:{petrol}\:{tank}\:{costs}\:\$\mathrm{2000}.\mathrm{00}\:{to} \\ $$$${fill}\:{it}\:{up}\:{at}\:\mathrm{10}°{C}\:,{how}\:{much}\:{extra} \\ $$$${dollar}\:{must}\:{I}\:{pay}\:{to}\:{fill}\:{up}\:{the}\:{tank} \\ $$$${at}\:\mathrm{50}°{C},{if}\:{the}\:{petrol}\:{costs}\:\$\mathrm{50}.\mathrm{00} \\ $$$${per}\:{litre}\:{and}\:{its}\:{cubic}\:{expansivity} \\ $$$${is}\:\mathrm{9}.\mathrm{5}×\mathrm{10}^{−\mathrm{4}} {K}^{−\mathrm{1}} ? \\ $$$$ \\ $$

Commented by MrW3 last updated on 04/Jul/18

((ΔV)/V)=9.5×10^(−4) ×(50−10)  =9.5×10^(−4) ×40  =0.038  Δcost=0.038×2000=76$

$$\frac{\Delta{V}}{{V}}=\mathrm{9}.\mathrm{5}×\mathrm{10}^{−\mathrm{4}} ×\left(\mathrm{50}−\mathrm{10}\right) \\ $$$$=\mathrm{9}.\mathrm{5}×\mathrm{10}^{−\mathrm{4}} ×\mathrm{40} \\ $$$$=\mathrm{0}.\mathrm{038} \\ $$$$\Delta{cost}=\mathrm{0}.\mathrm{038}×\mathrm{2000}=\mathrm{76\$} \\ $$

Commented by MrW3 last updated on 04/Jul/18

50$ per litre !  I must say petrol in your country is  really expensive. Or it′s not US$.

$$\mathrm{50\$}\:{per}\:{litre}\:! \\ $$$${I}\:{must}\:{say}\:{petrol}\:{in}\:{your}\:{country}\:{is} \\ $$$${really}\:{expensive}.\:{Or}\:{it}'{s}\:{not}\:{US\$}. \\ $$

Commented by NECx last updated on 05/Jul/18

Lol....its just an analysis...not real

$${Lol}....{its}\:{just}\:{an}\:{analysis}...{not}\:{real} \\ $$

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