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valina [46]
3 years ago
6

The volume of a gas at 2.0 atm is 3.0 L. What is the volume of the gas at 1.5 atm at the same temperature?

Chemistry
2 answers:
Andru [333]3 years ago
4 0

<u>Answer:</u> The final volume of the gas comes out to be 4 L.

<u>Explanation:</u>

To calculate the volume with changing pressure, we use the equation given by Boyle's law.

This law states that pressure is inversely proportional to the volume of the gas at constant temperature and number of moles.

Mathematically,

P\propto \frac{1}{V}      (At constant temperature and number of moles)

The equation given by this law is:

P_1V_1=P_2V_2

where,

P_1\text{ and }V_1 are initial pressure and volume.

P_2\text{ and }V_2 are final pressure and volume.

We are given:

P_1=2.0atm\\V_1=3L\\P_2=1.5atm\\V_2=?L

Putting values in above equation, we get:

2atm\times 3L=1.5atm\times V_2\\\\V_2=4L

Hence, the final volume of the gas will be 4 L.

Dimas [21]3 years ago
4 0

Answer : The correct option is, 4.0 L

Explanation :

Boyle's Law : It is defined as the pressure of the gas is inversely proportional to the volume of the gas at constant temperature and number of moles.

P\propto \frac{1}{V}

or,

P_1V_1=P_2V_2

where,

P_1 = initial pressure of gas = 2.0 atm

P_2 = final pressure of gas = 1.5 atm

V_1 = initial volume of gas = 3.0 L

V_2 = final volume of gas = ?

Now put all the given values in the above equation, we get:

2.0atm\times 3.0L=1.5atm\times V_2

V_2=4.0L

Therefore, the final volume of the gas is 4.0 L.

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