Question

Four tanks a, b, c, and d are filled with monatomic ideal gases. for each tank, the mass of an individual atom and the rms speed of the atoms are expressed in terms of m and v rms respectively. suppose that m = 1.95 * 10^-26 kg and v rms = 1000 m/s. find the temperature of the gas in each tank

Answer 1

To find the temperature of the gas in each tank, use the equation K = mv² = 2 kBT and rearrange it to solve for T. Plug in the values of m and v rms for each tank to calculate the temperature.

Step-by-step explanation:

The temperature of a gas can be determined using the equation K = mv² = 2 kBT, where K is the kinetic energy, m is the mass of an individual atom, and v is the RMS speed of the atoms. To find the temperature of the gas in each tank, we can rearrange the equation to solve for T.

For tank A:

TA = (K / 2kB) = (mvrms,A²) / (2kB) = (m(1000 m/s)²) / (2kB)

Repeat the above steps for tanks B, C, and D using the respective values of vrms for each tank.