Question

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

Answer 1

Answer:

339.5 mL

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:

$p\propto \frac{1}{V}$

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:

$V_2=\frac{p_1 V_1}{p_2}=\frac{(0.97)(350.0)}{1}=339.5 mL$