The density of gasoline is 7.30 \times 10^2 \; kg/m^3 at 0^{\circ}C. Its average coefficient of...
Question:
The density of gasoline is {eq}7.30 \times 10^2 \; kg/m^3 {/eq} at {eq}0^{\circ}C {/eq}. Its average coefficient of volume expansion is {eq}9.60 \times 10^{-4} \; C^{-1} {/eq}, and note that 1.00 gal = {eq}0.00380 \; m^3 {/eq}.
(a) Calculate the mass of 10.0 gal of gas at {eq}0^{\circ}C {/eq}.
(b) If {eq}1.000 \; m^3 {/eq} of gasoline at {eq}0^{\circ}C {/eq} is warmed by {eq}20.0^{\circ}C {/eq}, calculate its new volume.
(c) Using the answer to part (b), calculate the density of gasoline at {eq}20.0^{\circ}C {/eq}.
(d) Calculate the mass of 10.0 gal of gas at {eq}20.0^{\circ}C {/eq}.
(e) How many extra kilograms of gasoline would you get if you bought 10.0 gal of gasoline at {eq}0^{\circ}C {/eq} rather than at {eq}20.0^{\circ}C {/eq} from a pump that is not temperature compensated?
Density:
The density of material gives the amount of matter per unit volume. It changes significantly with temperature for gas substances because, with increasing temperature, the volume of the gas substances increases considerably.
Answer and Explanation: 1
Become a Study.com member to unlock this answer! Create your account
View this answer
Given Data:
- The density of gasoline at {eq}{0^ \circ }{\rm{C}} {/eq} is {eq}{\rho _1} = 7.30 \times...
See full answer below.
Ask a question
Our experts can answer your tough homework and study questions.
Ask a question Ask a questionSearch Answers
Learn more about this topic:
Get access to this video and our entire Q&A library
Density of Liquids Lesson for Kids
from
Chapter 7 / Lesson 11
47K
Learn about density, what density is, and what is meant by the density of liquids. Explore comparisons of different liquids and their densities to better understand how they interact, such as why oil and water do not mix.
Related to this Question
- The density of gasoline is 730 kg/m^3 at 0 degree Celsius. Its average coefficient of volume expansion is 9.60 x 10^{-4}(degree Celsius)^{-1}. Assume 1.00 gal of gasoline occupies 0.00380 m^3. How man
- The density of gasoline is 730 kg/m^3 at 0 degrees C. One gallon of gasoline occupies .0038 m^3 . Gasoline's volume expansion coefficient is .00096 C ^{-1} . How many kilograms of gasoline are ob
- The density of gasoline is 730, kg/m^3 . One gallon of gasoline occupies .0038, m^3 . Gasoline's volume expansion coefficient is .00096^{circ} C^{-1} . How many extra kilograms of gasoline are obtained when 9 gallons of gasoline are bought at a te
- A 2.3-kg steel gasoline can holds 18.5 L of gasoline when full. The density of steel is 7.80 \times 10^3 kg/m^3, and the density of gasoline is 0.680 \times 10^3 kg/m^3. What is the average density, i
- A 2.80-kg steel gas can holds 20.0 L of gasoline when full. What is the average density (in kg/m3) of the full gas can, taking into account the volume occupied by steel as well as by gasoline?
- A 2.60-kg steel gas can holds 15.0 L of gasoline when full. What is the average density of the full gas can, taking into account the volume occupied by steel as well as by gasoline?
- A 3.00 kg steel gas can holds 20.0 L of gasoline when full. What is the average density of the full gas can, taking into account the volume occupied by steel as well as by gasoline?
- If the density is 0.79 g/ml, what mass of gasoline, in kilograms, is in a full 25-gallon tank? (Note: 1.00 gallons = 3.785 L)
- A 2.50-kg steel gasoline can holds 20.0 L of gasoline when full. What is the average density of the full gas can, taking into account the volume occupied by steel as well as by gasoline?
- What is the mass of gasoline in a 94.6 L gasoline tank if the density of gasoline is rho = 0.680 kg/L? a. 43.97 kg. b. 64.33 kg. c. 23.76 kg. d. 25.54 kg.
- The density of a gas at S.T.P is 1.3 kg/m^3. Find the density of the gas at -15^{\circ}C and at a pressure of 8 cm Hg.
- A cylindrical underground storage tank with a diameter of 22.0 ft. and a height of 30.0 ft. is filled with gasoline. Given a density of 675 kg/m^3, determine the mass of the gas in the tank in both lb
- A balloon filled with helium gas has an average density of \rho_b = 0.25 kg/m^3. The density of the air is about \rho_a = 1.23 kg/m^3. The volume of the balloon is V_b = 0.048 m^3. The balloon is fl
- A balloon filled with helium gas has an average density of \rho_b = 0.36 kg/m^3. The density of the air is \rho_a = 1.23 kg/m^3. The volume of the balloon is Vb = 0.033 m^3. The balloon floats upward
- The density of water is 999.73 kg/m^3 at a temperature of 10 degrees Celsius and 958.38 kg/m^3 at a temperature of 100 degrees Celsius. Calculate the average coefficient of volume expansion for water in that range of temperature. Express your answer using
- 60 cm^3 of gasoline are mixed with 55 cm^3 of water. What is the average density of the mixture? the density of gasoline: 680 kg/m^3
- A fuel pump sends gasoline from a car's fuel tank to the engine at a rate of 5.79 \times 10^{-2}Kg/s. The density of the gasoline is 735 Kg/m^3, and the radius of the fuel line is 2.95 \times 10^{-3}
- The density of water is 999.73 kg/m^3 at a temperature of 10^oC and 958.38 kg/m^3 at a temperature of 100^oC. Calculate the average coefficient of volume expansion for water in that range of temperature. Express your answer using two significant figures.
- A 2.60 kg steel gas can holds 15.0 L of gasoline when full. What is the average density(kg/m^2))of the full gas can, taking into account the volume occupied by steel as well as by gasoline?
- A 2.60 kg steel gas can holds 15.0 L of gasoline when full. What is the average density(\frac{kg}{m^3})of the full gas can, taking into account the volume occupied by steel as well as by gasoline?
- Calculate the dynamic pressure of a gas with density p = 0.6 kg/m^3, which flows through the pipeline with diameter of d = 300 mm. The volumetric flow rate is V = 0.5 m^3/s.
- Assume a gasoline is isooctane, which has a density of 0.692 g/ml. What is the mass of 4.2 gal of the gasoline (1 gal = 3.78 L)?
- (a) What is the average density of 64 g of gasoline mixed with 32 g of water? (b) What is the average density of 30 cm^3 of gasoline are mixed with 46 cm^3?
- The density of helium gas at 0 degrees C is \rho_0 = 0.179 kg/m^3. The temperature is then raised to T = 100 degrees C, but the pressure is kept constant. Assuming the helium is an ideal gas, calculate the new density \rho_f of the gas.
- Find the change in the volume of 1.0-liter kerosene when it is subjected to an extra pressure of 2.0 \times 10^5 N m-2 from the following data. Density of kerosene = 800 kg m-3 and speed of sound in k
- A particular brand of gasoline has a density of 0.737 g/ml at 25 ^\circ C. How many grams of this gasoline would fill a 14.8 gal tank (1US gal = 3.78l)?
- In an open U-tube, the pressure of a 10.0-centimeter water column on one side is balanced by a column of gasoline on the other side that has a density equal to 1350 kg/m^{3}. What is the height of the gasoline column? (The density of water is 1000 kg/m^{3
- A gas is compressed at constant temperature from its initial volume and pressure of 0.0080 m^3 and 3.5 times 10^6 Pa to a volume of 0.0018 m^3. What is the final pressure of the gas?
- What is the density of fuel with relative density 0.72?
- A tank of Refrigerant-10 has a mass of 500 kg and a volume of 0.315 m^3. Determine its (a) weight (b) density (c) specific weight (d) specific gravity
- The density of helium is 0.179 kgm^3. A Baloon hs a capacity of 27m^3 and a mas of 12.5kg when empty. a) Find the total mass of balloon n gas. b) If density of air is 1.29 kgm^3, what mass of air is d
- A fuel pump sends gasoline from a car's fuel tank to the engine at a rate of 5.22x10^(-2) kilograms/seconds. The density of the gasoline is 735 kilograms/m^3 and the radius of the fuel line is 3.72x10
- Because gasoline is less dense than water, drums containing gasoline will float in water. Suppose a 180 L steel drum is completely full of gasoline. The density of gasoline is 750 kg/m^3 and the densi
- A gas bubble of diameter 2cm rises steadily at the rate of 2.5mm/s through a solution of density 2.25g/cm^3. Calculate the coefficient of viscosity of the solution. Neglect the density of the gas.
- a) A rectangular gasoline tank can hold 40.0 kg of gasoline when full. What is the depth of the tank if it is 0.500 m wide by 0.900 m long? (Answer in meters) b) What is the volume of the tank? (It i
- Because gasoline is less dense than water, drums containing gasoline will float in water. Suppose a 160-L steel drum is completely full of gasoline.The density of gasoline is 750 kg/m^3 and the densit
- The density of lead is 1.13 \times 10^4 kg/m^3 at 20.0^oC. Find its density (in kg/m^3) at 146^oC. (Use = 29 \times 10^{-6}(^oC)^{-1} for the coefficient of linear expansion. Give your answer to at least four significant figures.)
- Because gasoline is less dense than water, drums containing gasoline will float in water. Suppose a 190 L steel drum is completely full of gasoline.The density of gasoline is 750 kg/m^3 and the densit
- 40 cubic centimeters of gasoline are mixed with 90 cubic centimeters of water. What is the average density of the mixture?
- A container of gas is at a pressure of 3.7 times 10^5 Pa. (a) How much work is done by the gas if its volume expands by 1.6 m^3?
- At 0.7 C and 1.01 atm, 1.06 mol of a gas occupies a volume of 0.0236 m^{3}. (a) What is the number density? (b) Estimate the average distance between the molecules. (c) If the gas is nitrogen (N2), th
- What is the change in the volume of 1.0 L kerosene, when it is subjected to an extra pressure of 2.0 times 10^5 N/m^2, if the density of the kerosene = 800 kg m^{-3} and speed of sound in kerosene is
- A commonly used unit of mass in the English system is the pound-mass, abbreviated lbm, where 1 lbm = 0.454 kg. What is the density of gasoline in pound-mass per cubic foot? (Assume the density of gaso
- A fuel pump sends gasoline from a car's fuel tank to the engine at a rate of 5.91 \times 10^{-2}\ \rm{kg/s}. The density of the gasoline is 740\ \rm{kg/m^3}, and the radius of the fuel line is 3.82 \times 10^{-3}\ \rm{m}. What is the speed at which gasoli
- Assume it takes 6.00 minutes to fill a 45.0-gal gasoline tank. (1 U.S. gal = 231 in.^3) (a) Calculate the rate at which the tank is filled in cubic meters per second. (b) Determine the time interval, in hours, required to fill a 1.00 m^3 volume at the s
- Find the density of a fluid (in kg/m^3) in which a hydrometer having a density of 0.690 g/mL floats with 72.0% of its volume submerged. (kg/m^3)
- Calculate the molar volume of an ideal gas in m^3 at room temperature and pressure. In other word, calculate how much volume one mole of an ideal gas at 1.01 \times 10^5 Pa and 298K takes up. Then con
- A cylinder floats with its volume 3 cubic meter inside water. The density of water is 1000 kg per cubic meter. What is its total volume if its density 100 kg per cubic meter?
- A large balloon of mass 220 kg is filled with helium gas until its volume is 322 m^3. Assume the density of air is 1.29 kg/m^3 and the density of helium is 0.179 kg/m^3. (b) Calculate the buoyant force acting on the balloon. (c) Find the net force on the
- The dimension of a cylindrical storage tank is given as 12 m in height and 6 m in diameter. It is filled with light diesel of density of the oil is 0.98 g/cm^3. Calculate: (i) the pressure exerted by the oil at the base of the tank if the tank is filled u
- Two cylinders with the same mass density rho_C = 713 kg / m^3 are floating in a container of water (with mass density rho_W= 1025 kg / m^3). Cylinder #1 has a length of L_1 = 20 cm and radius r_
- A driver completely fills her car's fuel tank, which has volume 62 litres, at a service station with fuel that has a heating value of 46.4 \ MJ/kg and density of 680 \ kg/m^3. Assume that the driver has timed her fueling to perfection so that the fuel tan
- Calculate the buoyant force on a helium-filled balloon having a volume of 14000 cm^3. Density of air is 1.20 kg/m^3.
- An ideal gas expands at a constant pressure of 6.00 \times 10^5\ Pa from a volume of 1.00\ m^3 to a volume of 4.00\ m^3 and then is compressed to one-third that pressure and a volume of 2.50\ m^3 as shown in the figure before returning to its initial stat
- Assume it takes 10.0 min to fill a 35.0-gal gasoline tank. Determine the time interval, in hours, required to fill a 1.00-m^3 volume at the same rate. (1 U.S. gal = 231 in.^3)
- What is the average flow rate in cm^3/s of gasoline to the engine of a car traveling at 63 miles per hour if it averages 39 miles per gallon? cm^3/s
- A tank with a volume of 1.00 m^3 is filled with air at 0^{\circ}C at a pressure of 20 atm. How much volume would this occupy at 1 atm and room temperature (20^{\circ}C)? Give your answer as a number in units of m^3.
- (a) 90 g of gasoline are mixed with 70 g of water. What is the average density of the mixture? Express your answer as an integer and include the appropriate units. (b) 90 cm^3 of gasoline are mixed
- Estimate the mass of a gas cloud in which pressure balances gravity for a gas temperature of and a number density of 6.00 \times 10^{-2} particle per cubic centimetre.
- A certain fluid has a density of 7.590 \times 10^2 kg/m^3. Suppose a container with a volume of 3.110 \times 10^{-4} m^3 is filled with this fluid. What is the mass of the fluid? What is the weight of the fluid?
- The density of water at 0 ^oC is 0.998 \ g/cm ^3 and at 4^o C is 1000 \ g/cm, calculate the average coefficient of volume expansion of water in the temperature range 0 to 4^o C.
- A quantity of gas in a piston-cylinder has a volume of 0.500 m^3 and a pressure of 200 Pa. The piston compresses the gas to 0.150 m^3 in an isothermal process. What is the final pressure of the gas?
- A balloon inflated with helium gas (density = 0.2 kg/m^3) that has a volume of 6 x 10^-3 m^3. If the density of air is 1.3 kg/m^3, what is the buoyant force exerted on the balloon?
- Helium gas occupies a volume of 0.04 m^3 at a pressure of 2 \times 10^5 Pa (Nm^{-2}) and temperature of 300 K. Calculate (i) the mass of the helium. (ii) the r.m.s. speed of its molecules. (iii) the r.m.s. speed at 432 K when the gas is heated at constant
- Calculate 8,880 gal + 0.000000888 km^3 + 888 m^3 = [{Blank}] cc.
- How many milliliters of gasoline has a mass of 4.5 kg?
- A balloon with a mass of 0.4 kg and a volume of 0.5 m^3 is released. What is the total force on the balloon if the air density is 1.2 kg/m^3?
- An ideal gas is at pressure 1 \times 10^5 N/m^2 and occupies a volume 5 m^3. If the gas is compressed to a volume 1 m^3 while the temperature remains constant, what will be the new pressure in the gas
- An ideal gas at 18.0 ^o C and a pressure of 2.83 \times 10^5 \ Pa occupies a volume of 2.63 \ m^3. a) How many moles of gas are present? b) If the volume is raised to 5.09 \ m^3 and the temperature raised to 31.6^o C, what will be the pressure of the g
- Mass of an unknown sample is 0.240 kg in air and 0.208 kg when in oil of density=800 kg/m^3. Determine volume and density of the sample.
- Calculate the mass of an object (in kg) that has a density of 4.7 kg/m^3 and a volume of 2 m^3.
- A bottle with a volume of 188 U. S. fluid gallons is filled at the rate of 1.8 g/min. (Water has a density of 1000 kg/m^3, and 1 U.S. fluid gallon - 231 in^3) How long does the filling take?
- The average coefficient of volume expansion for carbon tetrachloride is 5.81 \times 10^{-4} ( C)? If a 42.5-gal steel container is filled completely with carbon tetrachloride when the temperature is
- A balloon of negligible mass is filled with helium gas (p = 0.179 kg/m^3) until its volume is just large enough to lift a 25.0 kg load. (a) Find this volume. (b) Find the buoyant force exerted by air
- The density of helium gas at 0 degrees C is rho 0=0.179kg/m^3. The temperature is then raised to T=170 degrees C, but the pressure is kept constant. Assuming that helium is an ideal gas, calculate the
- A container of gas is at a pressure of 1.3\times 10^5 Pa and a volume of 6.0 m^3. How much work is done by the gas if it expands at constant pressure to twice its initial volume?
- A large balloon of mass 226 kg is filled with helium gas until its volume is 325 m^3. Assume the density of air is 1.29 kg/m^3 and the density of helium is 0.179 kg/m^3. (a) Draw a force diagram for t
- (a) A rectangular gasoline tank can hold 45.0 kg of gasoline when full. What is the depth of the tank if it is 0.400 m wide by 0.900 m long? (b) What is the volume of the tank? (It is suitable for a p
- The density of helium gas at T = 0 C. 0 = 0.179 kg/m3. The temperature is then raised to T = 100 C, but the pressure is kept. Assuming that the helium is an ideal gas, calculate the new density f of the gas.
- A drum holds 90 kg of water or 60 kg of gasoline. Determine (a) the relative density of gasoline, (b) the density of gasoline and (c) the capacity of drum.
- A mass of an unknown sample is 0.240 kg in air and 0.208 kg when in oil of d 800 k g m 3. Determine volume and density.
- 1) The volume of an ideal gas is increased from 1 m^3 to 4 m^3 while maintaining a constant pressure of 1000 Pa(1 Pa = N/m^2). How much work is done by the gas in this expansion? 2) If the mass of a h
- A 20-cm-diameter cylinder that is 40 cm long contains 50 g of oxygen gas at 20C. What is the number density of the oxygen? in m ? 3 What is the reading of a pressure gauge attached to the tank? in k
- A car has a 40 L steel gas tank filled to the top with gasoline when the temperature is 10 C. The coefficient of volume expansion of gasoline is v = 0.900 * 10^{-3} K^{-1}. Taking the expansion of the
- A sample of lead has a mass of 29.00 kg and a density of 1.130 \times 10^4 \space kg/m^3 \space at \space 0^oC. (Assume the average linear expansion coefficient for lead is 2.900 \times10^{-5}(^oC^{-1
- Ethanol of density rho_b = 7.91 times 10^2 kg/m^3 flows smoothly through a horizontal pipe that tapers in cross-sectional area from A_1 = 1.20 times 10^{-3} m^2 to A_2 = A_1 / 4. The pressure differen
- A balloon inflated with helium gas (Density= 0.2 kg/m^3) has a volume of 0.006 \; m^3. If the density of air is 1.3 \; kg/m^3, what is the buoyant force exerted on the balloon?
- Consider a balloon of mass 0.030 kg being inflated with a gas of density 0.54 k g m ? 3 0.54kgm?3. What will be the volume of the balloon when it just begins to rise in air of density 1.29 k g m ? 3
- A certain man has a mass of 80 kg and a density of 955 kg/m^3 (excluding the air in his lungs). a) Calculate his volume. b) Find the buoyant force air exerts on him. c) What is the ratio of the buo
- A monatomic ideal gas (= 1.67) is contained within a box whose volume and pressure are 3.2 m^3 and 3.6 x 10^5 Pa, respectively. The total mass of the gas is 3.0 kg. Find the speed of sound in the gas.
- Using the ideal gas law, determine the volume that 1 mol of a gas at 0^\circ C and 1 atm occupies. Answer in m^3.
- A large balloon of mass 235 kg is filled with helium gas until its volume is 330 m^3 .Assume the density of air is 1.29 kg/m^3 and the density of helium is 0.179 kg/m^3 . (a) Draw a free body diagram
- A large balloon of mass 237, kg is filled with helium gas until its volume is 318, m^3 . Assume the density of air is 1.29, kg/m^3 , and the density of helium is 0.179, kg/m^3 . (a) Calculate the buoyant force acting on the balloon. (c) Find the net
- A rectangular gasoline tank can hold 50.0 kg of gasoline when full. What is the depth of the tank if it is 0.500 m wide by 0.900 m long? What is the volume of the tank? (It is suitable for a passenger
- Gasoline (rho = 700 kg-m^-3) flows from left to right through a cylindrical, horizontal pipe with a constant volume flow rate Q. The radius of the tube on the right is 1 cm, and the radius of the tube on the left is 2 cm. If the pressure difference betwee
- The number density of a gas is the ratio of the number of gas particles, N, to the volume of the gas, V. Calculate the number density of atoms in the air at 400 degrees Fahrenheit and 1.0 atm of pressure.
- One U.S. fluid gallon contains a volume of 231 cubic inches. How many liters of gasoline would you have to buy in Canada to fill a 14 gallon tank? Note: 1 L=10^3\ cm^3.
- If 4.00 m^3 of a gas initially at STP is placed under a pressure of 2.00 atm, the temperature of the gas rises to 37.0^o C. What is the volume in m^3 ?
- If 3.5 m^3 of a gas initially at STP is placed under a pressure of 3.2 atm, the temperature of the gas rises to 38degree C. what is the volume on m^3
- A 0.70-liter cylinder contains helium and oxygen, with partial pressures of 0.100 atm and 0.200 atm respectively, at a temperature of 284 K. Find the mass density of each gas.
Explore our homework questions and answers library
Browse
by subject