A 10 L flask and a 1 L flask each contain two moles of ideal diatomic gas (but n

Question

A 10 L flask and a 1 L flask each contain two moles of ideal diatomic gas (but not the same gas) at 25 degrees Celsius. Which of the following statements about these gases must be true. **COULD BE MORE THAN ONE CORRECT CHOICE***

Part A A 10-L flask and a 1-L flask each contain two moles of ideal diatomic gas (but not the same gas) at 25°C. Which of the following statements about these gases must be true? (There could be more than one correct choice.) The internal (thermal) energy of the gas in the smaller flask is greater than the internal (thermal) energy of the gas in the larger flask. OThe internal (thermal) energy of the gas in both flasks is the same. O The molecules in the larger flask have the same root-mean-square speed as those in the smaller flask O The internal (thermal) energy of the gas in the larger flask is greater than the internal (thermal) energy of the gas in the smaller flask O The molecules in the smaller flask have the same average kinetic energy per molecule as those in the larger flask Submit My Answers Give Up

Explanation / Answer

This exercise is related to ideal gases, thermodynamics gives the expression of the energy of a gas

E = kT

the equation of the ideal gas is

P V = nRT

With these expressions we can answer the questions

part a)

the internal energy depends only on the temperature, so if the two flasks have the same temperature has the same internal energy

result False

Part b) True

Part c)

Using the equation of state of ideal gases we can see that increasing the number of mole and volume the gas pressure on the walls of the flask are equal, therefore the speed means particles should be the same since only depend on temperature

result True

Part d) False

the two are equal

Part e) True

since the kinetic energy is proportional to the square of the average velocity

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