Answer
The final pressure is 8 atm
Work Step by Step
We can use the ideal gas law to solve this question:
$PV = nRT$
$P = \frac{nRT}{V}$
We first write an expression for the initial pressure.
$P_1 = \frac{nRT_1}{V}$
We then find the final pressure $P_2$:
$P_2 = \frac{nRT_2}{V}$
$P_2 = \frac{nR(4T_1)}{V}$
$P_2 = 4~\frac{nRT_1}{V}$
$P_2 = 4~P_1$
$P_2 = (4)(2~atm)$
$P_2 = 8~atm$
The final pressure is 8 atm.
