Question

A sample of gas has a volume of 2.4 L and a pressure of 1.2 atm. What would the pressure of the same gas sample be if the volume is reduced to 1.8 L at a constant temperature?
0.90 atm
1.6 atm
5.2 atm
3.6 atm

Answer 1

Answer:

The correct answer option is 1.6 atm.

Explanation:

We know that there is a sample gas which has a volume of 2.4 L with a pressure 1.2 atm and we are to find the pressure of the same gas sample if its volume is reduced to 1.8 L at a constant temperature.

We will apply the Boyle's law here which states that the "pressure of a given mass of an ideal gas is inversely proportional to its volume at a constant temperature".

$P_1V_1=P_2V_2$

Substituting the values in the formula to get:

$P_2=\frac{1.2*2.4}{1.8} \\\\P_2=1.6$

Therefore, the pressure of the same gas sample will be 1.6 atm if the volume is reduced to 1.8 L at a constant temperature.