# What is the volume of the gas after the explosion in the following problem?

##
In a thermonuclear device the pressure of 0.050 liters of gas within the bomb casing reaches #4.0 x 10^6# atm. When the bomb casing is destroyed by the explosion. the gas is released into the atmosphere where it reaches a pressure of 1.00 atm.

In a thermonuclear device the pressure of 0.050 liters of gas within the bomb casing reaches

##### 1 Answer

Nov 5, 2016

The volume of the gas is

#### Explanation:

This appears to be a **Boyle's Law** problem.

Boyle's Law is

#color(blue)(bar(ul(|color(white)(a/a)P_1V_1 = P_2V_2color(white)(a/a)|)))" "#

We can rearrange Boyle's Law to get

#V_2 = V_1 × P_1/P_2#

In this problem,

∴