Question

A sample of argon gas has a volume of 500 mL at a pressure of 1.5 atm. If the pressure is increased to 4.0 atm, the new volume is given by

Answer 1

Answer:

187.5 mL

Explanation:

From the question we are given;

• Initial volume of the gas, V₁ = 500 mL
• Initial pressure of the gas, P₁ = 1.5 atm
• New pressure of the gas, P₂ = 4.0 atm

We are required to determine the new volume of the gas;

We are going to use Boyle's law of gases.

• According to Boyle's law, the volume of a fixed mass of a gas and pressure are inversely proportional at a constant absolute temperature.

• That is;

$P\alpha\frac{1}{V}$

$P=\frac{k}{V}$

At different pressures and volume with constant temperature, then

$P_{1}V_{1}=P_{2}V_{2}$

Rearranging the formula;

$V_{2}=\frac{P_{1}V_{1}}{P_{2}}$

Thus;

$V_{2}=\frac{(500mL)(1.5 atm)}{4.0 atm}$

    $=187.5 mL$

Thus, the new volume of the gas is 187.5 mL

Answer 2

Answer:

1.5x500

————-

4.0

Explanation: