Question

application v great work. the equation you selected shows the relationship between the variables you know, and what you want to find out—the temperature of the gas in the new container. now fill in the values you were given in the problem into the equation you selected earlier. $\frac{p_1v_1}{t_1}=\frac{p_2v_2}{t_2}$ need to review the problem? a team of racecar engineers are looking to measure how tires filled with different gases behave during a race. they observe a sample of nitrogen gas has a volume of 1.2 liters, is at a pressure of 2.0 atm and has a temperature of 301 k. what would be the temperature of the gas if it was moved to a 0.50 l container where it had a pressure of 4.0 atm? what is known? the temperature of the gas in the original container 301 k the pressure in the new

Explanation:

Step1: Identify known values

$P_1 = 2.0$ atm, $V_1=1.2$ L, $T_1 = 301$ K, $P_2 = 4.0$ atm, $V_2=0.50$ L

Step2: Rearrange the ideal - gas law formula for $T_2$

From $\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}$, we can get $T_2=\frac{P_2V_2T_1}{P_1V_1}$

Step3: Substitute values into the formula

$T_2=\frac{4.0\times0.50\times301}{2.0\times1.2}$
$T_2=\frac{602}{2.4}$
$T_2 = 250.83$ K

Answer:

$250.83$ K