Question

Convert 350.0 mL at 0.97 atm to its new volume at standard pressure (1 atm).

Answer 1

339.5 mL

Step-by-step explanation:

Assuming the temperature of the gas remains constant, we can solve this problem by using Boyle's Law, which states that:

"When a constant mass of an ideal gas is kept at constant temperature, the pressure of the gas is inversely proportional to its volume"

Mathematically:

`p\propto (1)/(V)`

where

p is the pressure of the gas

V is its volume

This equation can be rewritten as

`p_1 V_1 = p_2 V_2`

where in this problem:

`p_1 = 0.97 atm` is the initial pressure of the gas

`V_1=350.0 mL` is the initial volume of the gas

`p_2 = 1 atm` is the final pressure

Solving for V2, we find the final volume:

`V_2=(p_1 V_1)/(p_2)=((0.97)(350.0))/(1)=339.5 mL`