To determine the speed of an oxygen molecule with a given kinetic energy, one must use the kinetic energy formula and solve for the speed. This requires the mass of the molecule and the kinetic energy value to perform the calculation to get the speed in meters per second.
To find out how fast an oxygen molecule is moving when it has a kinetic energy of about 6.21 x 10-21 joules, we can use the kinetic energy formula for a particle: KE = 1/2 m u2, where KE is kinetic energy, m is mass, and u is the speed of the particle.
To solve for u, we rearrange the formula to u = √(2 * KE / m). Plugging in the given values, m = 5.31 x 10-26 kg and KE = 6.21 x 10-21 joules, we can calculate the speed.
Using the formula: u = √(2 * 6.21 x 10-21 / 5.31 x 10-26) meters per second. Performing the calculation gives us a value for the speed u of the molecule.
The speed of an oxygen molecule with a mass of 5.31 x 10-26 kg and kinetic energy of 6.21 x 10-21 joules can be found using the kinetic energy formula, yielding a specific numerical value in meters per second reflecting how fast it is moving.