Question

In: Physics

An ideal gas has the volume V0. If the temperature and the pressure are each tripled during a process, the new volume is (a) Vo (b) 9V0- (c) 3V0- (d) 0.33Vo

An ideal gas has the volume V0. If the temperature and the pressure are each tripled during a process, the new volume is

(a) Vo

(b) 9V0-

(c) 3V0-

(d) 0.33Vo

Solutions

Expert Solution

The option (a) is correct option.

 

Explanation:

The ideal gas equation is

P1V1/T1 = P2V2/T2

 

Given that V1 = V0, P2 = 3P1, T2 = 3T1

 

So, putting these values in above expresion we get;

V2 = P1V0(3T1)/T1(3P1)

      = V0

 

Result:

The volume is unaltered.

 

Hence, option (a) is correct.


Option (a) is correct.

Related Solutions

A monatomic ideal gas of N atoms has initial temperature T0 and a volume V0, the...
A monatomic ideal gas of N atoms has initial temperature T0 and a volume V0, the gas is allowed to expand slowly to fill a final volume of 7V0 in the following ways: At constant temperature At constant pressure Adiabatically For each case (a you must determine i, ii, and iii, for b and c do the same) determine (i) the work done by the gas, (ii) the amount of energy transferred to the gas by heating, and (iii) the...
One mole of a monoatomic, ideal gas at initial pressure P0 and volume V0 goes to...
One mole of a monoatomic, ideal gas at initial pressure P0 and volume V0 goes to 2P0 a) along the path PV = constant, and b) at constant volume. Find the heat added to the gas in each case.
Start with an ideal gas of volume 4m^3, at a pressure of 1200Pa, and temperature 289K....
Start with an ideal gas of volume 4m^3, at a pressure of 1200Pa, and temperature 289K. Construct a cycle using 3 or more processes (of your choice). For each process in your cycle calculate the Q, ?U, and W. Calculate the net change in each of these quantities for the entire cycle, and determine whether the work as a result of the cycle is done ON or BY the system.
If the temperature of an ideal gas is raised from 100°C to 200°C, while the pressure...
If the temperature of an ideal gas is raised from 100°C to 200°C, while the pressure remains constant, the volume 1.) goes to 1/2 of the original volume 2.) doubles 3.) remains the same 4.) increases by a factor of 100 5.) none of these
Use critical temperature and pressure for oxygen gas to determine critical molar volume assuming a) ideal...
Use critical temperature and pressure for oxygen gas to determine critical molar volume assuming a) ideal gas  L/mole b) van der Waals gas  L/mole c) Redlich-Kwong gas  L/mole
Simulation : Ideal Gas Laws Objective: 1. Demonstrate the relationship between pressure, temperature, and volume for...
Simulation : Ideal Gas Laws Objective: 1. Demonstrate the relationship between pressure, temperature, and volume for the ideal gas. Equipment: phET Simulation : http://phet.colorado.edu/en/simulation/gas-properties Before you begin note the following notes and tips: You will use 200 units of substance in all activities. You can use the ruler to measure volume. Use tables with proper titles and labels to record your observations. A. In this part you will keep the volume of the container and amount of substance constant and...
If 4.71 moles of an ideal gas has a pressure of 3.55 atm, and a volume...
If 4.71 moles of an ideal gas has a pressure of 3.55 atm, and a volume of 26.09 L, what is the temperature of the sample in degrees Celsius?
A gas sample has a temperature of 20. ∘C with an unknown volume. The same gas...
A gas sample has a temperature of 20. ∘C with an unknown volume. The same gas has a volume of 449 mL when the temperature is 89 ∘C, with no change in the pressure and amount of gas. Part A What was the initial volume, in milliliters, of the gas? Express your answer using three significant figures.
A sample of an ideal gas occupies a volume of 25.0 liters at a pressure of...
A sample of an ideal gas occupies a volume of 25.0 liters at a pressure of 1.20 atm and a temperature of 75 degrees C. How many moles of gas are present in the container?
A sample of an ideal gas has a volume of 3.45 L at 12.00 C and...
A sample of an ideal gas has a volume of 3.45 L at 12.00 C and 1.00 C and 1.50 atm. what is the volume of the gas at 19.60 C and 0.988 atm ?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT