How long will it take to go 150000m traveling at 50km/hr
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Answer:
<h2>Derived quantities are based on fundamental quantities, and they can be given in terms of fundamental quantities.</h2><h3>Fundamental quantities are the base quantities of a unit system, and they are defined independent of the other quantities. </h3>Explanation:
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The equation of state for an ideal gas is
where p is the gas pressure, V the volume, n the number of moles, R the gas constant and T the temperature.
The equation of state for the initial condition of the gas is
(1)
While the same equation for the final condition is
(2)
We know that in the final condition, half of the mass of the gas is escaped. This means that the final volume of the gas is half of the initial volume, and also that the final number of moles is half the initial number of moles, so we can write:
If we substitute these relationship inside (1), and we divide (1) by (2), we get
And since the initial temperature of the gas is
, we can find the final temperature of the gas:
where p is the gas pressure, V the volume, n the number of moles, R the gas constant and T the temperature.
The equation of state for the initial condition of the gas is
While the same equation for the final condition is
We know that in the final condition, half of the mass of the gas is escaped. This means that the final volume of the gas is half of the initial volume, and also that the final number of moles is half the initial number of moles, so we can write:
If we substitute these relationship inside (1), and we divide (1) by (2), we get
And since the initial temperature of the gas is