Knowee
Questions
Features
Study Tools

An automobile tire with a volume of 0.6 m3 is inflated to a gage pressure of 250 kPa. Calculate the mass of air in the tire if the temperature is 50°C.*a) 2.46 kgb) 2.51 kgc) 2.26 kgd) 2.31 kg

Question

An automobile tire with a volume of 0.6 m3 is inflated to a gage pressure of 250 kPa. Calculate the mass of air in the tire if the temperature is 50°C.*a) 2.46 kgb) 2.51 kgc) 2.26 kgd) 2.31 kg

🧐 Not the exact question you are looking for?Go ask a question

Solution

To solve this problem, we need to use the ideal gas law, which is PV = nRT. However, we need to find the mass, not the number of moles (n). So we will use the form of the ideal gas law that includes mass: PV = (m/M)RT, where m is the mass of the gas, and M is the molar mass.

Given:

  • P (pressure) = 250 kPa = 250,000 Pa (since 1 kPa = 1000 Pa)
  • V (volume) = 0.6 m^3
  • T (temperature) = 50°C = 323.15 K (since T(K) = T(°C) + 273.15)
  • R (gas constant) = 8.314 J/(mol·K)
  • M (molar mass of air) = 28.97 g/mol = 0.02897 kg/mol

We need to find m (mass of the air). Rearranging the equation for m gives us m = (PVM) / RT.

Substituting the given values into the equation gives us m = (250,000 Pa * 0.6 m^3 * 0.02897 kg/mol) / (8.314 J/(mol·K) * 323.15 K).

Solving this equation gives us m = 2.51 kg.

So, the mass of the air in the tire is approximately 2.51 kg. The correct answer is (b) 2.51 kg.

This problem has been solved

Similar Questions

car tyre has an internal volume of 0.03m³and is filled with air of mass 0.049kg at 20degrees Celsius. Using appropriate gas constantsand ideal gas laws;i) Calculate the pressure in the tyre in kPa.ii) Calculate the pressure in the tyre if thetemperature were 40°C.iii) Using the pressure from the initialconditions, calculate the mass of the internalgas if Nitrogen were to be used instead or air.iv) Using the Van der Waals equation, statethe percentage of inaccuracy in part ‘c’ of thisquestion

a bicycle tyre is filled with air having pressure of 230 kpa at zig

The air pressure inside a tyre is 200 kPa.  Calculate the force which this air will exert on the inside surface of the tyre if it has a surface area of 0.1 m2.20,000 N2,000,000 N2,000 N20 N2A given amount of gas is held inside a container.  The volume of the container can be changed using a movable piston.  Which of the following will cause the pressure which the gas exerts on the walls of the container to decrease?Pumping more gas into (increasing the number of particles inside) the containerHeating the gasPulling the piston outwards (so that the volume of the container increases)Pushing the piston inwards (so that the volume of the container decreases)3A submarine experiences a pressure of 100,000 Pa at the surface of the sea.  Calculate the total pressure which it will experience when it descends to a depth of 100 metres.  The density of seawater is approximately 1,030 kg/m3, and the value of g is 10 N/kg.1,030,000 Pa110,300 Pa1,130,000 Pa10,300 Pa4A boy is swimming 5 metres below the surface of a swimming pool.  How will the pressure exerted on him change when he swims back to the surface?  The density of the water in the pool is approximately 1000 kg/m3 and the value of g is 10 N/kg.The pressure will decrease by 500 PaThe pressure will increase by 50,000 PaThe pressure will increase by 500 PaThe pressure will decrease by 50,000 Pa5An object is described as having neutral buoyancy.  Which of the following statements do NOT apply to it?It will be in a state of equilibriumIt is less dense than the fluid in which it is submergedThe pressure exerted on it will increase with depthIts weight is equal in magnitude to the upthrust force acting on it6Which of the following describes how atmospheric pressure (the pressure of the air that makes up our atmosphere) changes with altitude?It increases as altitude increasesIt remains constantWhether it increases, decreases or stays the same depends on local weather conditionsIt decreases as altitude increases

Air is compress from 100 kPa and 50°C to 2000 kPa and 500°C. Assuming constant specific heats, determine the change in the specific entropy of air.Group of answer choices0.0478 kJ/kg.K1.767 kJ/kg.K-1.767 kJ/kg.K-0.0478 kJ/kg.K

Question 13Consider a car at a chilly temperature of 44 °F. If the pressure is 101 kPa, what is the density of air in the car? How would increasing the temperature to 77°F change the density of air in the car?1 point1124 g/m^3, decrease by 98 g/m^31124 g/m^3, increase by 98 g/m^31257 g/m^3, decrease by 77 g/m^31257 g/m^3, increase by 77 g/m^3

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.