1)Suppose you buy gasoline from a service station whose gasoline is at a tempera
ID: 1468863 • Letter: 1
Question
1)Suppose you buy gasoline from a service station whose gasoline is at a temperature of 21.0°C, and a friend buys the same volume of the same kind of gasoline from a station whose gasoline temperature is 11.0°C. If the gasoline has a volumetric coefficient of thermal expansion of 0.00109 /°C, calculate the fractional difference of the mass of gasoline your friend got compared to the mass you got.
m/m =
2)The gauge pressure in your football is 89 kPa when inflated in a locker room at 21.5°C. What is the gauge pressure in the football if taken outside where it cools to -6.0°C?
kPa
3)If the heat capacity of dry air at 20°C is 1005 J/(kg°C), and the density of dry air at the same temperature is 1.205 kg/m³, how much energy does it take to raise the temperature of 7.80 m³ of dry air by 8.50 °C using an electric heater? Assume perfect thermal insulation around the air.
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Explanation / Answer
(1) We know that the Change in volume with respect to temperature is
dV = aVT where a is the volumetric coefficient of thermal expansion , V is the volume and T is the change in temperature
dV = 0.00109*V*(21-11)
dV/V 0.0109
we know that the density = mass/Volume
therefore mass = density*volume and density is constant therefore
dM/M =dV/V = 0.0109
(2) Initially the air is at 89 kPa and temperature is 21.5 C = 294.5 K
Finally the temperature is = - 6 = 267 K
since volume is constant
P1/T1 = P2/T2
therefore P2 = (P1/T1)*T2
P2 = 89(267/294.5) = 80.68 kPa
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