Question

Use the exact values you enter in previous answer(s) to make later calculation(s) In December 2006, two Missouri representatives filed legislation requiring that the price of motor fuel be adjusted for volume changes caused by temperature fluctuations. The industry standard assumes e emperature s 60°F. n he summer when he temperature eas y exceeds 60 F in Missoun, gasoline expands and its density decreases. Because gaso ne s so oume, you b fewer gasoline molecules (less energy) per gallon during the hot months. This change in volume is good for consumers in the winter months, when cold temperatures increase gasoline density and consumers get more molecules of gasoline per gallon. The industry has accepted temperature-based price adjustments in cold places like Canada, but not in warm places. In 2006, it was estimated that Missouri consumers paid $12 million extra due to the expansion of hot fuel. (a) The density of gasoline at 60°F is 737.22 kg/m2, what is the density of gasoline on a very hot day (T= 970F)? 789.73Xkg/m3 (b) If you buy 14.0 gal of gasoline at 60°F, what mass of gasoline have you purchased? kg (c) If you buy 14.0 gal of gasoline at 97°F, what mass of gasoline have you purchased? kg (d) If gasoline costs $2.40 per gallon (in 2006), how much money did a consumer lose by buying gasoline on a very hot day?

Answer 1

convert F into Kelvin and then do calculations

density * temperature = constant

a. 688.221 kg/m3

b. 39.065 kg

c. 36.469kg

d. 17 cents