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) ?


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

$I f a p e t r o l t a n k c o s t s $ 2000.00 t o$ $f i l l i t u p a t 10 ° C, h o w m u c h e x t r a$ $d o l l a r m u s t I p a y t o f i l l u p t h e t a n k$ $a t 50 ° C, i f t h e p e t r o l c o s t s $ 50.00$ $p e r l i t r e a n d i t s c u b i c e x p a n s i v i t y$ $i s 9.5 \times 10^{- 4} K^{- 1} ?$
Commented by MrW3 last updated on 04/Jul/18

$\frac{Δ V}{V} = 9.5 \times 10^{- 4} \times (50 - 10)$ $= 9.5 \times 10^{- 4} \times 40$ $= 0.038$ $Δ c o s t = 0.038 \times 2000 = 76 $$
Commented by MrW3 last updated on 04/Jul/18

$50 $ p e r l i t r e!$ $I m u s t s a y p e t r o l i n y o u r c o u n t r y i s$ $r e a l l y e x p e n s i v e . O r {i t}^{'} s n o t U S $ .$
Commented by NECx last updated on 05/Jul/18

$L o l . . . . i t s j u s t a n a n a l y s i s . . . n o t r e a l$
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