imagine two pure samples of gas in identical closed containers: sample a and sample b. sample a has a higher…

imagine two pure samples of gas in identical closed containers: sample a and sample b. sample a has a higher temperature than sample b. each of the statements below is true about the samples. which statements describe a property that contributes to the difference in temperature? select all that apply. the total mass of sample a is higher than the total mass of sample b. the particles in sample a have a higher average speed than the particles in sample b. each particle in sample a has more mass than each particle in sample b.

imagine two pure samples of gas in identical closed containers: sample a and sample b. sample a has a higher temperature than sample b. each of the statements below is true about the samples. which statements describe a property that contributes to the difference in temperature? select all that apply. the total mass of sample a is higher than the total mass of sample b. the particles in sample a have a higher average speed than the particles in sample b. each particle in sample a has more mass than each particle in sample b.

Answer

Explanation:

Step1: Recall kinetic - theory of gases

Temperature is related to the average kinetic energy of gas particles. The average kinetic energy of gas particles is given by $K_{avg}=\frac{3}{2}kT$, where $k$ is the Boltzmann constant and $T$ is the temperature. Also, $K_{avg}=\frac{1}{2}m_{avg}v_{rms}^2$, where $m_{avg}$ is the average mass of particles and $v_{rms}$ is the root - mean - square speed.

Step2: Analyze each statement

  • Statement 1: The total mass of sample A is higher than the total mass of sample B If the total mass is higher, and assuming the number of moles or particles is related in a way that affects the average kinetic energy. A higher total mass could imply more particles or more massive particles, which can contribute to a higher average kinetic energy and thus higher temperature.
  • Statement 2: The particles in sample A have a higher average speed than the particles in sample B Since $K_{avg}=\frac{1}{2}m_{avg}v_{rms}^2$ and $K_{avg}\propto T$, a higher average speed ($v_{rms}$) directly implies a higher average kinetic energy and thus a higher temperature.
  • Statement 3: Each particle in sample A has more mass than each particle in sample B If each particle has more mass ($m_{avg}$), and considering $K_{avg}=\frac{1}{2}m_{avg}v_{rms}^2$ and $K_{avg}\propto T$, a higher mass of particles can contribute to a higher average kinetic energy and higher temperature.

Answer:

The total mass of sample A is higher than the total mass of sample B., The particles in sample A have a higher average speed than the particles in sample B., Each particle in sample A has more mass than each particle in sample B.